The letters hi in the upper-right quadrant

Percentage Accurate: 100.0% → 100.0%
Time: 4.6s
Alternatives: 6
Speedup: 2.0×

Specification

?
\[\begin{array}{l} t_0 := \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\\ \mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - t\_0\right), t\_0 - 0.275\right)\right) \end{array} \]
(FPCore (x y)
  :precision binary64
  :pre TRUE
  (let* ((t_0 (sqrt (+ (pow (- y 0.275) 2.0) (pow (- x 0.275) 2.0)))))
  (fmin
   (fmin
    (fmin
     (fmin
      (fmax (fmax (fmax (- y 0.55) (- y)) (- x 0.825)) (- 0.725 x))
      (- (sqrt (+ (pow (- y 0.7) 2.0) (pow (- x 0.775) 2.0))) 0.075))
     (fmax (fmax (fmax (- y) (- y 0.275)) (- x 0.55)) (- 0.45 x)))
    (fmax (fmax (fmax (- y) (- y 1.0)) (- x 0.1)) (- x)))
   (fmax
    (fmax
     (fmax (fmax (fmax (- y 0.55) (- x 0.55)) (- x)) (- 0.275 y))
     (- 0.175 t_0))
    (- t_0 0.275)))))
double code(double x, double y) {
	double t_0 = sqrt((pow((y - 0.275), 2.0) + pow((x - 0.275), 2.0)));
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (sqrt((pow((y - 0.7), 2.0) + pow((x - 0.775), 2.0))) - 0.075)), fmax(fmax(fmax(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), fmax(fmax(fmax(-y, (y - 1.0)), (x - 0.1)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)));
}

real(8) function code(x, y)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8) :: t_0
    t_0 = sqrt((((y - 0.275d0) ** 2.0d0) + ((x - 0.275d0) ** 2.0d0)))
    code = fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55d0), -y), (x - 0.825d0)), (0.725d0 - x)), (sqrt((((y - 0.7d0) ** 2.0d0) + ((x - 0.775d0) ** 2.0d0))) - 0.075d0)), fmax(fmax(fmax(-y, (y - 0.275d0)), (x - 0.55d0)), (0.45d0 - x))), fmax(fmax(fmax(-y, (y - 1.0d0)), (x - 0.1d0)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55d0), (x - 0.55d0)), -x), (0.275d0 - y)), (0.175d0 - t_0)), (t_0 - 0.275d0)))
end function

public static double code(double x, double y) {
	double t_0 = Math.sqrt((Math.pow((y - 0.275), 2.0) + Math.pow((x - 0.275), 2.0)));
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (Math.sqrt((Math.pow((y - 0.7), 2.0) + Math.pow((x - 0.775), 2.0))) - 0.075)), fmax(fmax(fmax(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), fmax(fmax(fmax(-y, (y - 1.0)), (x - 0.1)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)));
}

def code(x, y):
	t_0 = math.sqrt((math.pow((y - 0.275), 2.0) + math.pow((x - 0.275), 2.0)))
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (math.sqrt((math.pow((y - 0.7), 2.0) + math.pow((x - 0.775), 2.0))) - 0.075)), fmax(fmax(fmax(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), fmax(fmax(fmax(-y, (y - 1.0)), (x - 0.1)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)))

function code(x, y)
	t_0 = sqrt(Float64((Float64(y - 0.275) ^ 2.0) + (Float64(x - 0.275) ^ 2.0)))
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax(Float64(y - 0.55), Float64(-y)), Float64(x - 0.825)), Float64(0.725 - x)), Float64(sqrt(Float64((Float64(y - 0.7) ^ 2.0) + (Float64(x - 0.775) ^ 2.0))) - 0.075)), fmax(fmax(fmax(Float64(-y), Float64(y - 0.275)), Float64(x - 0.55)), Float64(0.45 - x))), fmax(fmax(fmax(Float64(-y), Float64(y - 1.0)), Float64(x - 0.1)), Float64(-x))), fmax(fmax(fmax(fmax(fmax(Float64(y - 0.55), Float64(x - 0.55)), Float64(-x)), Float64(0.275 - y)), Float64(0.175 - t_0)), Float64(t_0 - 0.275)))
end

function tmp = code(x, y)
	t_0 = sqrt((((y - 0.275) ^ 2.0) + ((x - 0.275) ^ 2.0)));
	tmp = min(min(min(min(max(max(max((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (sqrt((((y - 0.7) ^ 2.0) + ((x - 0.775) ^ 2.0))) - 0.075)), max(max(max(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), max(max(max(-y, (y - 1.0)), (x - 0.1)), -x)), max(max(max(max(max((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)));
end

code[x_, y_] := Block[{t$95$0 = N[Sqrt[N[(N[Power[N[(y - 0.275), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(x - 0.275), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]], $MachinePrecision]}, N[Min[N[Min[N[Min[N[Min[N[Max[N[Max[N[Max[N[(y - 0.55), $MachinePrecision], (-y)], $MachinePrecision], N[(x - 0.825), $MachinePrecision]], $MachinePrecision], N[(0.725 - x), $MachinePrecision]], $MachinePrecision], N[(N[Sqrt[N[(N[Power[N[(y - 0.7), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(x - 0.775), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]], $MachinePrecision] - 0.075), $MachinePrecision]], $MachinePrecision], N[Max[N[Max[N[Max[(-y), N[(y - 0.275), $MachinePrecision]], $MachinePrecision], N[(x - 0.55), $MachinePrecision]], $MachinePrecision], N[(0.45 - x), $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Max[N[Max[N[Max[(-y), N[(y - 1.0), $MachinePrecision]], $MachinePrecision], N[(x - 0.1), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision], N[Max[N[Max[N[Max[N[Max[N[Max[N[(y - 0.55), $MachinePrecision], N[(x - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision], N[(0.275 - y), $MachinePrecision]], $MachinePrecision], N[(0.175 - t$95$0), $MachinePrecision]], $MachinePrecision], N[(t$95$0 - 0.275), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]]

f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET t_0 = (sqrt((((y - (27500000000000002220446049250313080847263336181640625e-53)) ^ (2)) + ((x - (27500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) IN
		LET tmp_679 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_680 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_678 = IF (tmp_679 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_680 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_683 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_684 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_682 = IF (tmp_683 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_684 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_676 = IF (tmp_678 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_682 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_692 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_693 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_691 = IF (tmp_692 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_693 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_696 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_697 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_695 = IF (tmp_696 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_697 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_689 = IF (tmp_691 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_695 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_671 = IF (tmp_676 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_689 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_705 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_706 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_704 = IF (tmp_705 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_706 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_709 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_710 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_708 = IF (tmp_709 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_710 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_702 = IF (tmp_704 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_708 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_732 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_733 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_731 = IF (tmp_732 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_733 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_736 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_737 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_735 = IF (tmp_736 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_737 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_729 = IF (tmp_731 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_735 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_745 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_746 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_744 = IF (tmp_745 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_746 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_749 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_750 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_748 = IF (tmp_749 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_750 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_742 = IF (tmp_744 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_748 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_724 = IF (tmp_729 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_742 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_758 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_759 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_757 = IF (tmp_758 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_759 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_762 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_763 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_761 = IF (tmp_762 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_763 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_755 = IF (tmp_757 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_761 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_657 = IF (tmp_671 < tmp_702) THEN tmp_724 ELSE tmp_755 ENDIF IN
		LET tmp_771 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_772 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_770 = IF (tmp_771 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_772 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_775 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_776 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_774 = IF (tmp_775 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_776 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_768 = IF (tmp_770 > (- x)) THEN tmp_774 ELSE (- x) ENDIF IN
		LET tmp_839 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_840 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_838 = IF (tmp_839 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_840 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_843 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_844 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_842 = IF (tmp_843 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_844 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_836 = IF (tmp_838 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_842 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_852 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_853 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_851 = IF (tmp_852 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_853 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_856 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_857 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_855 = IF (tmp_856 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_857 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_849 = IF (tmp_851 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_855 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_831 = IF (tmp_836 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_849 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_865 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_866 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_864 = IF (tmp_865 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_866 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_869 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_870 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_868 = IF (tmp_869 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_870 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_862 = IF (tmp_864 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_868 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_892 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_893 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_891 = IF (tmp_892 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_893 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_896 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_897 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_895 = IF (tmp_896 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_897 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_889 = IF (tmp_891 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_895 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_905 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_906 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_904 = IF (tmp_905 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_906 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_909 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_910 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_908 = IF (tmp_909 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_910 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_902 = IF (tmp_904 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_908 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_884 = IF (tmp_889 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_902 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_918 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_919 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_917 = IF (tmp_918 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_919 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_922 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_923 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_921 = IF (tmp_922 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_923 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_915 = IF (tmp_917 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_921 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_817 = IF (tmp_831 < tmp_862) THEN tmp_884 ELSE tmp_915 ENDIF IN
		LET tmp_931 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_932 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_930 = IF (tmp_931 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_932 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_935 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_936 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_934 = IF (tmp_935 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_936 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_928 = IF (tmp_930 > (- x)) THEN tmp_934 ELSE (- x) ENDIF IN
		LET tmp_616 = IF (tmp_657 < tmp_768) THEN tmp_817 ELSE tmp_928 ENDIF IN
		LET tmp_999 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1000 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_998 = IF (tmp_999 > (- x)) THEN tmp_1000 ELSE (- x) ENDIF IN
		LET tmp_1003 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1004 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1002 = IF (tmp_1003 > (- x)) THEN tmp_1004 ELSE (- x) ENDIF IN
		LET tmp_996 = IF (tmp_998 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1002 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1012 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1013 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1011 = IF (tmp_1012 > (- x)) THEN tmp_1013 ELSE (- x) ENDIF IN
		LET tmp_1016 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1017 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1015 = IF (tmp_1016 > (- x)) THEN tmp_1017 ELSE (- x) ENDIF IN
		LET tmp_1009 = IF (tmp_1011 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1015 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_991 = IF (tmp_996 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1009 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_1039 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1040 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1038 = IF (tmp_1039 > (- x)) THEN tmp_1040 ELSE (- x) ENDIF IN
		LET tmp_1043 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1044 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1042 = IF (tmp_1043 > (- x)) THEN tmp_1044 ELSE (- x) ENDIF IN
		LET tmp_1036 = IF (tmp_1038 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1042 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1052 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1053 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1051 = IF (tmp_1052 > (- x)) THEN tmp_1053 ELSE (- x) ENDIF IN
		LET tmp_1056 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1057 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1055 = IF (tmp_1056 > (- x)) THEN tmp_1057 ELSE (- x) ENDIF IN
		LET tmp_1049 = IF (tmp_1051 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1055 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1031 = IF (tmp_1036 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1049 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_977 = IF (tmp_991 > (t_0 - (27500000000000002220446049250313080847263336181640625e-53))) THEN tmp_1031 ELSE (t_0 - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1268 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1269 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1267 = IF (tmp_1268 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1269 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1272 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1273 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1271 = IF (tmp_1272 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1273 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1265 = IF (tmp_1267 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1271 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1281 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1282 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1280 = IF (tmp_1281 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1282 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1285 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1286 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1284 = IF (tmp_1285 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1286 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1278 = IF (tmp_1280 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1284 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1260 = IF (tmp_1265 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1278 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1294 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1295 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1293 = IF (tmp_1294 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1295 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1298 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1299 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1297 = IF (tmp_1298 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1299 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1291 = IF (tmp_1293 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1297 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1321 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1322 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1320 = IF (tmp_1321 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1322 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1325 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1326 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1324 = IF (tmp_1325 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1326 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1318 = IF (tmp_1320 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1324 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1334 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1335 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1333 = IF (tmp_1334 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1335 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1338 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1339 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1337 = IF (tmp_1338 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1339 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1331 = IF (tmp_1333 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1337 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1313 = IF (tmp_1318 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1331 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1347 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1348 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1346 = IF (tmp_1347 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1348 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1351 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1352 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1350 = IF (tmp_1351 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1352 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1344 = IF (tmp_1346 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1350 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1246 = IF (tmp_1260 < tmp_1291) THEN tmp_1313 ELSE tmp_1344 ENDIF IN
		LET tmp_1360 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1361 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1359 = IF (tmp_1360 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1361 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1364 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1365 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1363 = IF (tmp_1364 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1365 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1357 = IF (tmp_1359 > (- x)) THEN tmp_1363 ELSE (- x) ENDIF IN
		LET tmp_1428 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1429 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1427 = IF (tmp_1428 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1429 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1432 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1433 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1431 = IF (tmp_1432 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1433 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1425 = IF (tmp_1427 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1431 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1441 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1442 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1440 = IF (tmp_1441 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1442 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1445 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1446 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1444 = IF (tmp_1445 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1446 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1438 = IF (tmp_1440 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1444 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1420 = IF (tmp_1425 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1438 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1454 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1455 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1453 = IF (tmp_1454 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1455 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1458 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1459 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1457 = IF (tmp_1458 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1459 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1451 = IF (tmp_1453 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1457 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1481 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1482 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1480 = IF (tmp_1481 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1482 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1485 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1486 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1484 = IF (tmp_1485 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1486 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1478 = IF (tmp_1480 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1484 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1494 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1495 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1493 = IF (tmp_1494 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1495 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1498 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1499 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1497 = IF (tmp_1498 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1499 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1491 = IF (tmp_1493 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1497 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1473 = IF (tmp_1478 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1491 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1507 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1508 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1506 = IF (tmp_1507 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1508 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1511 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1512 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1510 = IF (tmp_1511 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1512 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1504 = IF (tmp_1506 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1510 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1406 = IF (tmp_1420 < tmp_1451) THEN tmp_1473 ELSE tmp_1504 ENDIF IN
		LET tmp_1520 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1521 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1519 = IF (tmp_1520 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1521 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1524 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1525 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1523 = IF (tmp_1524 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1525 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1517 = IF (tmp_1519 > (- x)) THEN tmp_1523 ELSE (- x) ENDIF IN
		LET tmp_1205 = IF (tmp_1246 < tmp_1357) THEN tmp_1406 ELSE tmp_1517 ENDIF IN
		LET tmp_1588 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1589 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1587 = IF (tmp_1588 > (- x)) THEN tmp_1589 ELSE (- x) ENDIF IN
		LET tmp_1592 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1593 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1591 = IF (tmp_1592 > (- x)) THEN tmp_1593 ELSE (- x) ENDIF IN
		LET tmp_1585 = IF (tmp_1587 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1591 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1601 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1602 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1600 = IF (tmp_1601 > (- x)) THEN tmp_1602 ELSE (- x) ENDIF IN
		LET tmp_1605 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1606 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1604 = IF (tmp_1605 > (- x)) THEN tmp_1606 ELSE (- x) ENDIF IN
		LET tmp_1598 = IF (tmp_1600 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1604 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1580 = IF (tmp_1585 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1598 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_1628 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1629 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1627 = IF (tmp_1628 > (- x)) THEN tmp_1629 ELSE (- x) ENDIF IN
		LET tmp_1632 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1633 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1631 = IF (tmp_1632 > (- x)) THEN tmp_1633 ELSE (- x) ENDIF IN
		LET tmp_1625 = IF (tmp_1627 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1631 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1641 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1642 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1640 = IF (tmp_1641 > (- x)) THEN tmp_1642 ELSE (- x) ENDIF IN
		LET tmp_1645 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1646 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1644 = IF (tmp_1645 > (- x)) THEN tmp_1646 ELSE (- x) ENDIF IN
		LET tmp_1638 = IF (tmp_1640 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1644 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1620 = IF (tmp_1625 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1638 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_1566 = IF (tmp_1580 > (t_0 - (27500000000000002220446049250313080847263336181640625e-53))) THEN tmp_1620 ELSE (t_0 - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_468 = IF (tmp_616 < tmp_977) THEN tmp_1205 ELSE tmp_1566 ENDIF IN
	tmp_468
END code
\begin{array}{l}
t_0 := \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\\
\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - t\_0\right), t\_0 - 0.275\right)\right)
\end{array}

Local Percentage Accuracy vs ?

The average percentage accuracy by input value. Horizontal axis shows value of an input variable; the variable is choosen in the title. Vertical axis is accuracy; higher is better. Red represent the original program, while blue represents Herbie's suggestion. These can be toggled with buttons below the plot. The line is an average while dots represent individual samples.

Accuracy vs Speed?

Herbie found 6 alternatives:

AlternativeAccuracySpeedup
The accuracy (vertical axis) and speed (horizontal axis) of each alternatives. Up and to the right is better. The red square shows the initial program, and each blue circle shows an alternative.The line shows the best available speed-accuracy tradeoffs.

Initial Program: 100.0% accurate, 1.0× speedup?

\[\begin{array}{l} t_0 := \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\\ \mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - t\_0\right), t\_0 - 0.275\right)\right) \end{array} \]
(FPCore (x y)
  :precision binary64
  :pre TRUE
  (let* ((t_0 (sqrt (+ (pow (- y 0.275) 2.0) (pow (- x 0.275) 2.0)))))
  (fmin
   (fmin
    (fmin
     (fmin
      (fmax (fmax (fmax (- y 0.55) (- y)) (- x 0.825)) (- 0.725 x))
      (- (sqrt (+ (pow (- y 0.7) 2.0) (pow (- x 0.775) 2.0))) 0.075))
     (fmax (fmax (fmax (- y) (- y 0.275)) (- x 0.55)) (- 0.45 x)))
    (fmax (fmax (fmax (- y) (- y 1.0)) (- x 0.1)) (- x)))
   (fmax
    (fmax
     (fmax (fmax (fmax (- y 0.55) (- x 0.55)) (- x)) (- 0.275 y))
     (- 0.175 t_0))
    (- t_0 0.275)))))
double code(double x, double y) {
	double t_0 = sqrt((pow((y - 0.275), 2.0) + pow((x - 0.275), 2.0)));
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (sqrt((pow((y - 0.7), 2.0) + pow((x - 0.775), 2.0))) - 0.075)), fmax(fmax(fmax(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), fmax(fmax(fmax(-y, (y - 1.0)), (x - 0.1)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)));
}

real(8) function code(x, y)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8) :: t_0
    t_0 = sqrt((((y - 0.275d0) ** 2.0d0) + ((x - 0.275d0) ** 2.0d0)))
    code = fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55d0), -y), (x - 0.825d0)), (0.725d0 - x)), (sqrt((((y - 0.7d0) ** 2.0d0) + ((x - 0.775d0) ** 2.0d0))) - 0.075d0)), fmax(fmax(fmax(-y, (y - 0.275d0)), (x - 0.55d0)), (0.45d0 - x))), fmax(fmax(fmax(-y, (y - 1.0d0)), (x - 0.1d0)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55d0), (x - 0.55d0)), -x), (0.275d0 - y)), (0.175d0 - t_0)), (t_0 - 0.275d0)))
end function

public static double code(double x, double y) {
	double t_0 = Math.sqrt((Math.pow((y - 0.275), 2.0) + Math.pow((x - 0.275), 2.0)));
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (Math.sqrt((Math.pow((y - 0.7), 2.0) + Math.pow((x - 0.775), 2.0))) - 0.075)), fmax(fmax(fmax(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), fmax(fmax(fmax(-y, (y - 1.0)), (x - 0.1)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)));
}

def code(x, y):
	t_0 = math.sqrt((math.pow((y - 0.275), 2.0) + math.pow((x - 0.275), 2.0)))
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (math.sqrt((math.pow((y - 0.7), 2.0) + math.pow((x - 0.775), 2.0))) - 0.075)), fmax(fmax(fmax(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), fmax(fmax(fmax(-y, (y - 1.0)), (x - 0.1)), -x)), fmax(fmax(fmax(fmax(fmax((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)))

function code(x, y)
	t_0 = sqrt(Float64((Float64(y - 0.275) ^ 2.0) + (Float64(x - 0.275) ^ 2.0)))
	return fmin(fmin(fmin(fmin(fmax(fmax(fmax(Float64(y - 0.55), Float64(-y)), Float64(x - 0.825)), Float64(0.725 - x)), Float64(sqrt(Float64((Float64(y - 0.7) ^ 2.0) + (Float64(x - 0.775) ^ 2.0))) - 0.075)), fmax(fmax(fmax(Float64(-y), Float64(y - 0.275)), Float64(x - 0.55)), Float64(0.45 - x))), fmax(fmax(fmax(Float64(-y), Float64(y - 1.0)), Float64(x - 0.1)), Float64(-x))), fmax(fmax(fmax(fmax(fmax(Float64(y - 0.55), Float64(x - 0.55)), Float64(-x)), Float64(0.275 - y)), Float64(0.175 - t_0)), Float64(t_0 - 0.275)))
end

function tmp = code(x, y)
	t_0 = sqrt((((y - 0.275) ^ 2.0) + ((x - 0.275) ^ 2.0)));
	tmp = min(min(min(min(max(max(max((y - 0.55), -y), (x - 0.825)), (0.725 - x)), (sqrt((((y - 0.7) ^ 2.0) + ((x - 0.775) ^ 2.0))) - 0.075)), max(max(max(-y, (y - 0.275)), (x - 0.55)), (0.45 - x))), max(max(max(-y, (y - 1.0)), (x - 0.1)), -x)), max(max(max(max(max((y - 0.55), (x - 0.55)), -x), (0.275 - y)), (0.175 - t_0)), (t_0 - 0.275)));
end

code[x_, y_] := Block[{t$95$0 = N[Sqrt[N[(N[Power[N[(y - 0.275), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(x - 0.275), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]], $MachinePrecision]}, N[Min[N[Min[N[Min[N[Min[N[Max[N[Max[N[Max[N[(y - 0.55), $MachinePrecision], (-y)], $MachinePrecision], N[(x - 0.825), $MachinePrecision]], $MachinePrecision], N[(0.725 - x), $MachinePrecision]], $MachinePrecision], N[(N[Sqrt[N[(N[Power[N[(y - 0.7), $MachinePrecision], 2.0], $MachinePrecision] + N[Power[N[(x - 0.775), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]], $MachinePrecision] - 0.075), $MachinePrecision]], $MachinePrecision], N[Max[N[Max[N[Max[(-y), N[(y - 0.275), $MachinePrecision]], $MachinePrecision], N[(x - 0.55), $MachinePrecision]], $MachinePrecision], N[(0.45 - x), $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Max[N[Max[N[Max[(-y), N[(y - 1.0), $MachinePrecision]], $MachinePrecision], N[(x - 0.1), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision], N[Max[N[Max[N[Max[N[Max[N[Max[N[(y - 0.55), $MachinePrecision], N[(x - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision], N[(0.275 - y), $MachinePrecision]], $MachinePrecision], N[(0.175 - t$95$0), $MachinePrecision]], $MachinePrecision], N[(t$95$0 - 0.275), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]]

f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET t_0 = (sqrt((((y - (27500000000000002220446049250313080847263336181640625e-53)) ^ (2)) + ((x - (27500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) IN
		LET tmp_679 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_680 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_678 = IF (tmp_679 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_680 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_683 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_684 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_682 = IF (tmp_683 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_684 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_676 = IF (tmp_678 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_682 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_692 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_693 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_691 = IF (tmp_692 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_693 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_696 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_697 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_695 = IF (tmp_696 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_697 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_689 = IF (tmp_691 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_695 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_671 = IF (tmp_676 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_689 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_705 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_706 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_704 = IF (tmp_705 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_706 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_709 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_710 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_708 = IF (tmp_709 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_710 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_702 = IF (tmp_704 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_708 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_732 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_733 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_731 = IF (tmp_732 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_733 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_736 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_737 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_735 = IF (tmp_736 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_737 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_729 = IF (tmp_731 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_735 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_745 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_746 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_744 = IF (tmp_745 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_746 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_749 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_750 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_748 = IF (tmp_749 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_750 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_742 = IF (tmp_744 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_748 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_724 = IF (tmp_729 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_742 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_758 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_759 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_757 = IF (tmp_758 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_759 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_762 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_763 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_761 = IF (tmp_762 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_763 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_755 = IF (tmp_757 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_761 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_657 = IF (tmp_671 < tmp_702) THEN tmp_724 ELSE tmp_755 ENDIF IN
		LET tmp_771 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_772 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_770 = IF (tmp_771 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_772 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_775 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_776 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_774 = IF (tmp_775 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_776 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_768 = IF (tmp_770 > (- x)) THEN tmp_774 ELSE (- x) ENDIF IN
		LET tmp_839 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_840 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_838 = IF (tmp_839 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_840 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_843 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_844 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_842 = IF (tmp_843 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_844 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_836 = IF (tmp_838 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_842 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_852 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_853 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_851 = IF (tmp_852 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_853 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_856 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_857 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_855 = IF (tmp_856 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_857 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_849 = IF (tmp_851 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_855 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_831 = IF (tmp_836 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_849 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_865 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_866 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_864 = IF (tmp_865 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_866 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_869 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_870 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_868 = IF (tmp_869 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_870 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_862 = IF (tmp_864 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_868 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_892 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_893 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_891 = IF (tmp_892 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_893 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_896 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_897 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_895 = IF (tmp_896 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_897 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_889 = IF (tmp_891 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_895 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_905 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_906 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_904 = IF (tmp_905 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_906 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_909 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_910 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_908 = IF (tmp_909 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_910 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_902 = IF (tmp_904 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_908 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_884 = IF (tmp_889 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_902 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_918 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_919 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_917 = IF (tmp_918 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_919 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_922 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_923 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_921 = IF (tmp_922 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_923 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_915 = IF (tmp_917 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_921 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_817 = IF (tmp_831 < tmp_862) THEN tmp_884 ELSE tmp_915 ENDIF IN
		LET tmp_931 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_932 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_930 = IF (tmp_931 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_932 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_935 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_936 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_934 = IF (tmp_935 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_936 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_928 = IF (tmp_930 > (- x)) THEN tmp_934 ELSE (- x) ENDIF IN
		LET tmp_616 = IF (tmp_657 < tmp_768) THEN tmp_817 ELSE tmp_928 ENDIF IN
		LET tmp_999 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1000 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_998 = IF (tmp_999 > (- x)) THEN tmp_1000 ELSE (- x) ENDIF IN
		LET tmp_1003 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1004 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1002 = IF (tmp_1003 > (- x)) THEN tmp_1004 ELSE (- x) ENDIF IN
		LET tmp_996 = IF (tmp_998 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1002 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1012 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1013 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1011 = IF (tmp_1012 > (- x)) THEN tmp_1013 ELSE (- x) ENDIF IN
		LET tmp_1016 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1017 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1015 = IF (tmp_1016 > (- x)) THEN tmp_1017 ELSE (- x) ENDIF IN
		LET tmp_1009 = IF (tmp_1011 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1015 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_991 = IF (tmp_996 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1009 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_1039 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1040 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1038 = IF (tmp_1039 > (- x)) THEN tmp_1040 ELSE (- x) ENDIF IN
		LET tmp_1043 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1044 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1042 = IF (tmp_1043 > (- x)) THEN tmp_1044 ELSE (- x) ENDIF IN
		LET tmp_1036 = IF (tmp_1038 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1042 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1052 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1053 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1051 = IF (tmp_1052 > (- x)) THEN tmp_1053 ELSE (- x) ENDIF IN
		LET tmp_1056 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1057 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1055 = IF (tmp_1056 > (- x)) THEN tmp_1057 ELSE (- x) ENDIF IN
		LET tmp_1049 = IF (tmp_1051 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1055 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1031 = IF (tmp_1036 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1049 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_977 = IF (tmp_991 > (t_0 - (27500000000000002220446049250313080847263336181640625e-53))) THEN tmp_1031 ELSE (t_0 - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1268 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1269 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1267 = IF (tmp_1268 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1269 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1272 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1273 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1271 = IF (tmp_1272 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1273 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1265 = IF (tmp_1267 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1271 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1281 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1282 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1280 = IF (tmp_1281 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1282 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1285 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1286 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1284 = IF (tmp_1285 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1286 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1278 = IF (tmp_1280 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1284 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1260 = IF (tmp_1265 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1278 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1294 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1295 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1293 = IF (tmp_1294 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1295 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1298 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1299 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1297 = IF (tmp_1298 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1299 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1291 = IF (tmp_1293 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1297 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1321 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1322 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1320 = IF (tmp_1321 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1322 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1325 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1326 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1324 = IF (tmp_1325 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1326 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1318 = IF (tmp_1320 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1324 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1334 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1335 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1333 = IF (tmp_1334 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1335 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1338 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1339 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1337 = IF (tmp_1338 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1339 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1331 = IF (tmp_1333 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1337 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1313 = IF (tmp_1318 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1331 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1347 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1348 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1346 = IF (tmp_1347 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1348 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1351 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1352 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1350 = IF (tmp_1351 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1352 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1344 = IF (tmp_1346 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1350 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1246 = IF (tmp_1260 < tmp_1291) THEN tmp_1313 ELSE tmp_1344 ENDIF IN
		LET tmp_1360 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1361 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1359 = IF (tmp_1360 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1361 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1364 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1365 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1363 = IF (tmp_1364 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1365 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1357 = IF (tmp_1359 > (- x)) THEN tmp_1363 ELSE (- x) ENDIF IN
		LET tmp_1428 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1429 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1427 = IF (tmp_1428 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1429 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1432 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1433 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1431 = IF (tmp_1432 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1433 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1425 = IF (tmp_1427 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1431 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1441 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1442 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1440 = IF (tmp_1441 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1442 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1445 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1446 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1444 = IF (tmp_1445 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1446 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1438 = IF (tmp_1440 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1444 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1420 = IF (tmp_1425 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1438 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1454 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1455 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1453 = IF (tmp_1454 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1455 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1458 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1459 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1457 = IF (tmp_1458 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1459 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1451 = IF (tmp_1453 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1457 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1481 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1482 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1480 = IF (tmp_1481 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1482 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1485 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1486 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1484 = IF (tmp_1485 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1486 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1478 = IF (tmp_1480 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1484 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1494 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1495 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1493 = IF (tmp_1494 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1495 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1498 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1499 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (- y)) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (- y) ENDIF IN
		LET tmp_1497 = IF (tmp_1498 > (x - (8249999999999999555910790149937383830547332763671875e-52))) THEN tmp_1499 ELSE (x - (8249999999999999555910790149937383830547332763671875e-52)) ENDIF IN
		LET tmp_1491 = IF (tmp_1493 > ((72499999999999997779553950749686919152736663818359375e-53) - x)) THEN tmp_1497 ELSE ((72499999999999997779553950749686919152736663818359375e-53) - x) ENDIF IN
		LET tmp_1473 = IF (tmp_1478 < ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56))) THEN tmp_1491 ELSE ((sqrt((((y - (6999999999999999555910790149937383830547332763671875e-52)) ^ (2)) + ((x - (77500000000000002220446049250313080847263336181640625e-53)) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ENDIF IN
		LET tmp_1507 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1508 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1506 = IF (tmp_1507 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1508 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1511 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1512 = IF ((- y) > (y - (27500000000000002220446049250313080847263336181640625e-53))) THEN (- y) ELSE (y - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_1510 = IF (tmp_1511 > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN tmp_1512 ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1504 = IF (tmp_1506 > ((450000000000000011102230246251565404236316680908203125e-54) - x)) THEN tmp_1510 ELSE ((450000000000000011102230246251565404236316680908203125e-54) - x) ENDIF IN
		LET tmp_1406 = IF (tmp_1420 < tmp_1451) THEN tmp_1473 ELSE tmp_1504 ENDIF IN
		LET tmp_1520 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1521 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1519 = IF (tmp_1520 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1521 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1524 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1525 = IF ((- y) > (y - (1))) THEN (- y) ELSE (y - (1)) ENDIF IN
		LET tmp_1523 = IF (tmp_1524 > (x - (1000000000000000055511151231257827021181583404541015625e-55))) THEN tmp_1525 ELSE (x - (1000000000000000055511151231257827021181583404541015625e-55)) ENDIF IN
		LET tmp_1517 = IF (tmp_1519 > (- x)) THEN tmp_1523 ELSE (- x) ENDIF IN
		LET tmp_1205 = IF (tmp_1246 < tmp_1357) THEN tmp_1406 ELSE tmp_1517 ENDIF IN
		LET tmp_1588 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1589 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1587 = IF (tmp_1588 > (- x)) THEN tmp_1589 ELSE (- x) ENDIF IN
		LET tmp_1592 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1593 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1591 = IF (tmp_1592 > (- x)) THEN tmp_1593 ELSE (- x) ENDIF IN
		LET tmp_1585 = IF (tmp_1587 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1591 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1601 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1602 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1600 = IF (tmp_1601 > (- x)) THEN tmp_1602 ELSE (- x) ENDIF IN
		LET tmp_1605 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1606 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1604 = IF (tmp_1605 > (- x)) THEN tmp_1606 ELSE (- x) ENDIF IN
		LET tmp_1598 = IF (tmp_1600 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1604 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1580 = IF (tmp_1585 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1598 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_1628 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1629 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1627 = IF (tmp_1628 > (- x)) THEN tmp_1629 ELSE (- x) ENDIF IN
		LET tmp_1632 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1633 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1631 = IF (tmp_1632 > (- x)) THEN tmp_1633 ELSE (- x) ENDIF IN
		LET tmp_1625 = IF (tmp_1627 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1631 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1641 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1642 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1640 = IF (tmp_1641 > (- x)) THEN tmp_1642 ELSE (- x) ENDIF IN
		LET tmp_1645 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1646 = IF ((y - (5500000000000000444089209850062616169452667236328125e-52)) > (x - (5500000000000000444089209850062616169452667236328125e-52))) THEN (y - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (x - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_1644 = IF (tmp_1645 > (- x)) THEN tmp_1646 ELSE (- x) ENDIF IN
		LET tmp_1638 = IF (tmp_1640 > ((27500000000000002220446049250313080847263336181640625e-53) - y)) THEN tmp_1644 ELSE ((27500000000000002220446049250313080847263336181640625e-53) - y) ENDIF IN
		LET tmp_1620 = IF (tmp_1625 > ((174999999999999988897769753748434595763683319091796875e-54) - t_0)) THEN tmp_1638 ELSE ((174999999999999988897769753748434595763683319091796875e-54) - t_0) ENDIF IN
		LET tmp_1566 = IF (tmp_1580 > (t_0 - (27500000000000002220446049250313080847263336181640625e-53))) THEN tmp_1620 ELSE (t_0 - (27500000000000002220446049250313080847263336181640625e-53)) ENDIF IN
		LET tmp_468 = IF (tmp_616 < tmp_977) THEN tmp_1205 ELSE tmp_1566 ENDIF IN
	tmp_468
END code
\begin{array}{l}
t_0 := \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\\
\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - t\_0\right), t\_0 - 0.275\right)\right)
\end{array}

Alternative 1: 100.0% accurate, 2.0× speedup?

\[\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
(FPCore (x y)
  :precision binary64
  :pre TRUE
  (fmin
 (fmin
  (fmax (- x) (fmax (- x 0.1) (fmax (- y 1.0) (- y))))
  (fmin
   (fmax (- 0.45 x) (fmax (- x 0.55) (fmax (- y 0.275) (- y))))
   (fmin
    (- (hypot (- 0.7 y) (- 0.775 x)) 0.075)
    (fmax (- 0.725 x) (fmax (- x 0.825) (fmax (- y) (- y 0.55)))))))
 (fmax
  (- -0.275 0.275)
  (fmax
   (- 0.175 -0.275)
   (fmax (- 0.275 y) (fmax (fmax (- x 0.55) (- y 0.55)) (- x)))))))
double code(double x, double y) {
	return fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y))), fmin((hypot((0.7 - y), (0.775 - x)) - 0.075), fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))))), fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x)))));
}

public static double code(double x, double y) {
	return fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y))), fmin((Math.hypot((0.7 - y), (0.775 - x)) - 0.075), fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))))), fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x)))));
}

def code(x, y):
	return fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y))), fmin((math.hypot((0.7 - y), (0.775 - x)) - 0.075), fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))))), fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x)))))

function code(x, y)
	return fmin(fmin(fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(Float64(y - 1.0), Float64(-y)))), fmin(fmax(Float64(0.45 - x), fmax(Float64(x - 0.55), fmax(Float64(y - 0.275), Float64(-y)))), fmin(Float64(hypot(Float64(0.7 - y), Float64(0.775 - x)) - 0.075), fmax(Float64(0.725 - x), fmax(Float64(x - 0.825), fmax(Float64(-y), Float64(y - 0.55))))))), fmax(Float64(-0.275 - 0.275), fmax(Float64(0.175 - -0.275), fmax(Float64(0.275 - y), fmax(fmax(Float64(x - 0.55), Float64(y - 0.55)), Float64(-x))))))
end

function tmp = code(x, y)
	tmp = min(min(max(-x, max((x - 0.1), max((y - 1.0), -y))), min(max((0.45 - x), max((x - 0.55), max((y - 0.275), -y))), min((hypot((0.7 - y), (0.775 - x)) - 0.075), max((0.725 - x), max((x - 0.825), max(-y, (y - 0.55))))))), max((-0.275 - 0.275), max((0.175 - -0.275), max((0.275 - y), max(max((x - 0.55), (y - 0.55)), -x)))));
end

code[x_, y_] := N[Min[N[Min[N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[N[(y - 1.0), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Min[N[Max[N[(0.45 - x), $MachinePrecision], N[Max[N[(x - 0.55), $MachinePrecision], N[Max[N[(y - 0.275), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Min[N[(N[Sqrt[N[(0.7 - y), $MachinePrecision] ^ 2 + N[(0.775 - x), $MachinePrecision] ^ 2], $MachinePrecision] - 0.075), $MachinePrecision], N[Max[N[(0.725 - x), $MachinePrecision], N[Max[N[(x - 0.825), $MachinePrecision], N[Max[(-y), N[(y - 0.55), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Max[N[(-0.275 - 0.275), $MachinePrecision], N[Max[N[(0.175 - -0.275), $MachinePrecision], N[Max[N[(0.275 - y), $MachinePrecision], N[Max[N[Max[N[(x - 0.55), $MachinePrecision], N[(y - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]

f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET tmp_137 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_138 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_136 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_137) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_138 ENDIF IN
	LET tmp_140 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_141 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_139 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_140) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_141 ENDIF IN
	LET tmp_135 = IF ((- x) > tmp_136) THEN (- x) ELSE tmp_139 ENDIF IN
	LET tmp_152 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_153 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_151 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_152) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_153 ENDIF IN
	LET tmp_155 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_156 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_154 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_155) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_156 ENDIF IN
	LET tmp_150 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_151) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_154 ENDIF IN
	LET tmp_160 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_161 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_159 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_160) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_161 ENDIF IN
	LET tmp_163 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_164 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_162 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_163) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_164 ENDIF IN
	LET tmp_158 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_159) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_162 ENDIF IN
	LET tmp_167 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_168 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_166 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_167) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_168 ENDIF IN
	LET tmp_170 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_171 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_169 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_170) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_171 ENDIF IN
	LET tmp_165 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_166) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_169 ENDIF IN
	LET tmp_157 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_158) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_165 ENDIF IN
	LET tmp_174 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_175 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_173 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_174) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_175 ENDIF IN
	LET tmp_177 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_178 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_176 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_177) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_178 ENDIF IN
	LET tmp_172 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_173) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_176 ENDIF IN
	LET tmp_182 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_183 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_181 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_182) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_183 ENDIF IN
	LET tmp_185 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_186 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_184 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_185) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_186 ENDIF IN
	LET tmp_180 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_181) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_184 ENDIF IN
	LET tmp_189 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_190 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_188 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_189) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_190 ENDIF IN
	LET tmp_192 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_193 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_191 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_192) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_193 ENDIF IN
	LET tmp_187 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_188) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_191 ENDIF IN
	LET tmp_179 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_180) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_187 ENDIF IN
	LET tmp_149 = IF (tmp_150 < tmp_157) THEN tmp_172 ELSE tmp_179 ENDIF IN
	LET tmp_196 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_197 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_195 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_196) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_197 ENDIF IN
	LET tmp_199 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_200 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_198 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_199) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_200 ENDIF IN
	LET tmp_194 = IF ((- x) > tmp_195) THEN (- x) ELSE tmp_198 ENDIF IN
	LET tmp_211 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_212 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_210 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_211) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_212 ENDIF IN
	LET tmp_214 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_215 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_213 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_214) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_215 ENDIF IN
	LET tmp_209 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_210) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_213 ENDIF IN
	LET tmp_219 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_220 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_218 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_219) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_220 ENDIF IN
	LET tmp_222 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_223 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_221 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_222) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_223 ENDIF IN
	LET tmp_217 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_218) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_221 ENDIF IN
	LET tmp_226 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_227 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_225 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_226) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_227 ENDIF IN
	LET tmp_229 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_230 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_228 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_229) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_230 ENDIF IN
	LET tmp_224 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_225) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_228 ENDIF IN
	LET tmp_216 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_217) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_224 ENDIF IN
	LET tmp_233 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_234 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_232 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_233) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_234 ENDIF IN
	LET tmp_236 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_237 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_235 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_236) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_237 ENDIF IN
	LET tmp_231 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_232) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_235 ENDIF IN
	LET tmp_241 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_242 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_240 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_241) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_242 ENDIF IN
	LET tmp_244 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_245 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_243 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_244) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_245 ENDIF IN
	LET tmp_239 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_240) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_243 ENDIF IN
	LET tmp_248 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_249 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_247 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_248) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_249 ENDIF IN
	LET tmp_251 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_252 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_250 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_251) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_252 ENDIF IN
	LET tmp_246 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_247) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_250 ENDIF IN
	LET tmp_238 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_239) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_246 ENDIF IN
	LET tmp_208 = IF (tmp_209 < tmp_216) THEN tmp_231 ELSE tmp_238 ENDIF IN
	LET tmp_134 = IF (tmp_135 < tmp_149) THEN tmp_194 ELSE tmp_208 ENDIF IN
	LET tmp_258 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_259 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_257 = IF (tmp_258 > (- x)) THEN tmp_259 ELSE (- x) ENDIF IN
	LET tmp_262 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_263 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_261 = IF (tmp_262 > (- x)) THEN tmp_263 ELSE (- x) ENDIF IN
	LET tmp_255 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_257) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_261 ENDIF IN
	LET tmp_267 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_268 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_266 = IF (tmp_267 > (- x)) THEN tmp_268 ELSE (- x) ENDIF IN
	LET tmp_271 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_272 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_270 = IF (tmp_271 > (- x)) THEN tmp_272 ELSE (- x) ENDIF IN
	LET tmp_264 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_266) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_270 ENDIF IN
	LET tmp_254 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_255) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_264 ENDIF IN
	LET tmp_277 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_278 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_276 = IF (tmp_277 > (- x)) THEN tmp_278 ELSE (- x) ENDIF IN
	LET tmp_281 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_282 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_280 = IF (tmp_281 > (- x)) THEN tmp_282 ELSE (- x) ENDIF IN
	LET tmp_274 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_276) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_280 ENDIF IN
	LET tmp_286 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_287 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_285 = IF (tmp_286 > (- x)) THEN tmp_287 ELSE (- x) ENDIF IN
	LET tmp_290 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_291 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_289 = IF (tmp_290 > (- x)) THEN tmp_291 ELSE (- x) ENDIF IN
	LET tmp_283 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_285) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_289 ENDIF IN
	LET tmp_273 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_274) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_283 ENDIF IN
	LET tmp_253 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_254) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_273 ENDIF IN
	LET tmp_302 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_303 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_301 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_302) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_303 ENDIF IN
	LET tmp_305 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_306 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_304 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_305) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_306 ENDIF IN
	LET tmp_300 = IF ((- x) > tmp_301) THEN (- x) ELSE tmp_304 ENDIF IN
	LET tmp_317 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_318 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_316 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_317) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_318 ENDIF IN
	LET tmp_320 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_321 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_319 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_320) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_321 ENDIF IN
	LET tmp_315 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_316) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_319 ENDIF IN
	LET tmp_325 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_326 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_324 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_325) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_326 ENDIF IN
	LET tmp_328 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_329 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_327 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_328) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_329 ENDIF IN
	LET tmp_323 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_324) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_327 ENDIF IN
	LET tmp_332 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_333 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_331 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_332) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_333 ENDIF IN
	LET tmp_335 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_336 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_334 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_335) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_336 ENDIF IN
	LET tmp_330 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_331) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_334 ENDIF IN
	LET tmp_322 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_323) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_330 ENDIF IN
	LET tmp_339 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_340 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_338 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_339) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_340 ENDIF IN
	LET tmp_342 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_343 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_341 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_342) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_343 ENDIF IN
	LET tmp_337 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_338) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_341 ENDIF IN
	LET tmp_347 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_348 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_346 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_347) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_348 ENDIF IN
	LET tmp_350 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_351 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_349 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_350) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_351 ENDIF IN
	LET tmp_345 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_346) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_349 ENDIF IN
	LET tmp_354 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_355 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_353 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_354) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_355 ENDIF IN
	LET tmp_357 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_358 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_356 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_357) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_358 ENDIF IN
	LET tmp_352 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_353) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_356 ENDIF IN
	LET tmp_344 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_345) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_352 ENDIF IN
	LET tmp_314 = IF (tmp_315 < tmp_322) THEN tmp_337 ELSE tmp_344 ENDIF IN
	LET tmp_361 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_362 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_360 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_361) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_362 ENDIF IN
	LET tmp_364 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_365 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_363 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_364) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_365 ENDIF IN
	LET tmp_359 = IF ((- x) > tmp_360) THEN (- x) ELSE tmp_363 ENDIF IN
	LET tmp_376 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_377 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_375 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_376) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_377 ENDIF IN
	LET tmp_379 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_380 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_378 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_379) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_380 ENDIF IN
	LET tmp_374 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_375) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_378 ENDIF IN
	LET tmp_384 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_385 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_383 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_384) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_385 ENDIF IN
	LET tmp_387 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_388 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_386 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_387) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_388 ENDIF IN
	LET tmp_382 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_383) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_386 ENDIF IN
	LET tmp_391 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_392 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_390 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_391) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_392 ENDIF IN
	LET tmp_394 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_395 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_393 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_394) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_395 ENDIF IN
	LET tmp_389 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_390) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_393 ENDIF IN
	LET tmp_381 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_382) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_389 ENDIF IN
	LET tmp_398 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_399 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_397 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_398) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_399 ENDIF IN
	LET tmp_401 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_402 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_400 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_401) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_402 ENDIF IN
	LET tmp_396 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_397) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_400 ENDIF IN
	LET tmp_406 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_407 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_405 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_406) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_407 ENDIF IN
	LET tmp_409 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_410 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_408 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_409) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_410 ENDIF IN
	LET tmp_404 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_405) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_408 ENDIF IN
	LET tmp_413 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_414 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_412 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_413) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_414 ENDIF IN
	LET tmp_416 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_417 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_415 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_416) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_417 ENDIF IN
	LET tmp_411 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_412) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_415 ENDIF IN
	LET tmp_403 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < tmp_404) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE tmp_411 ENDIF IN
	LET tmp_373 = IF (tmp_374 < tmp_381) THEN tmp_396 ELSE tmp_403 ENDIF IN
	LET tmp_299 = IF (tmp_300 < tmp_314) THEN tmp_359 ELSE tmp_373 ENDIF IN
	LET tmp_423 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_424 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_422 = IF (tmp_423 > (- x)) THEN tmp_424 ELSE (- x) ENDIF IN
	LET tmp_427 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_428 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_426 = IF (tmp_427 > (- x)) THEN tmp_428 ELSE (- x) ENDIF IN
	LET tmp_420 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_422) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_426 ENDIF IN
	LET tmp_432 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_433 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_431 = IF (tmp_432 > (- x)) THEN tmp_433 ELSE (- x) ENDIF IN
	LET tmp_436 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_437 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_435 = IF (tmp_436 > (- x)) THEN tmp_437 ELSE (- x) ENDIF IN
	LET tmp_429 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_431) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_435 ENDIF IN
	LET tmp_419 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_420) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_429 ENDIF IN
	LET tmp_442 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_443 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_441 = IF (tmp_442 > (- x)) THEN tmp_443 ELSE (- x) ENDIF IN
	LET tmp_446 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_447 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_445 = IF (tmp_446 > (- x)) THEN tmp_447 ELSE (- x) ENDIF IN
	LET tmp_439 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_441) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_445 ENDIF IN
	LET tmp_451 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_452 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_450 = IF (tmp_451 > (- x)) THEN tmp_452 ELSE (- x) ENDIF IN
	LET tmp_455 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_456 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_454 = IF (tmp_455 > (- x)) THEN tmp_456 ELSE (- x) ENDIF IN
	LET tmp_448 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_450) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_454 ENDIF IN
	LET tmp_438 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_439) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_448 ENDIF IN
	LET tmp_418 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_419) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_438 ENDIF IN
	LET tmp_126 = IF (tmp_134 < tmp_253) THEN tmp_299 ELSE tmp_418 ENDIF IN
	tmp_126
END code
\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right)
Derivation

  1. Initial program 100.0%

    \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

  3. Applied rewrites100.0%

    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

  4. Taylor expanded in x around inf

    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
  5. Step-by-step derivation

    1. Applied rewrites100.0%

      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

    2. Taylor expanded in x around 0

      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
    3. Step-by-step derivation

      1. Applied rewrites100.0%

        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
      2. Add Preprocessing

      Alternative 2: 94.2% accurate, 1.9× speedup?

      \[\begin{array}{l} t_0 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\ t_1 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\ t_2 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\ \mathbf{if}\;y \leq 2.55 \cdot 10^{+16}:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(-1, -y\right)\right)\right), \mathsf{min}\left(t\_0, \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, t\_1\right)\right)\right), t\_2\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(t\_0, \mathsf{min}\left(y \cdot \left(1 - 0.775 \cdot \frac{1}{y}\right), t\_1\right)\right)\right), t\_2\right)\\ \end{array} \]
      (FPCore (x y)
  :precision binary64
  :pre TRUE
  (let* ((t_0
        (fmax (- 0.45 x) (fmax (- x 0.55) (fmax (- y 0.275) (- y)))))
       (t_1
        (fmax (- 0.725 x) (fmax (- x 0.825) (fmax (- y) (- y 0.55)))))
       (t_2
        (fmax
         (- -0.275 0.275)
         (fmax
          (- 0.175 -0.275)
          (fmax
           (- 0.275 y)
           (fmax (fmax (- x 0.55) (- y 0.55)) (- x)))))))
  (if (<= y 2.55e+16)
    (fmin
     (fmin
      (fmax (- x) (fmax (- x 0.1) (fmax -1.0 (- y))))
      (fmin t_0 (fmin (- (hypot (- 0.7 y) (- 0.775 x)) 0.075) t_1)))
     t_2)
    (fmin
     (fmin
      (fmax (- x) (fmax (- x 0.1) (fmax (- y 1.0) (- y))))
      (fmin t_0 (fmin (* y (- 1.0 (* 0.775 (/ 1.0 y)))) t_1)))
     t_2))))
      double code(double x, double y) {
	double t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_2 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (y <= 2.55e+16) {
		tmp = fmin(fmin(fmax(-x, fmax((x - 0.1), fmax(-1.0, -y))), fmin(t_0, fmin((hypot((0.7 - y), (0.775 - x)) - 0.075), t_1))), t_2);
	} else {
		tmp = fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(t_0, fmin((y * (1.0 - (0.775 * (1.0 / y)))), t_1))), t_2);
	}
	return tmp;
}

      public static double code(double x, double y) {
	double t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_2 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (y <= 2.55e+16) {
		tmp = fmin(fmin(fmax(-x, fmax((x - 0.1), fmax(-1.0, -y))), fmin(t_0, fmin((Math.hypot((0.7 - y), (0.775 - x)) - 0.075), t_1))), t_2);
	} else {
		tmp = fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(t_0, fmin((y * (1.0 - (0.775 * (1.0 / y)))), t_1))), t_2);
	}
	return tmp;
}

      def code(x, y):
	t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)))
	t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))
	t_2 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))))
	tmp = 0
	if y <= 2.55e+16:
		tmp = fmin(fmin(fmax(-x, fmax((x - 0.1), fmax(-1.0, -y))), fmin(t_0, fmin((math.hypot((0.7 - y), (0.775 - x)) - 0.075), t_1))), t_2)
	else:
		tmp = fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(t_0, fmin((y * (1.0 - (0.775 * (1.0 / y)))), t_1))), t_2)
	return tmp

      function code(x, y)
	t_0 = fmax(Float64(0.45 - x), fmax(Float64(x - 0.55), fmax(Float64(y - 0.275), Float64(-y))))
	t_1 = fmax(Float64(0.725 - x), fmax(Float64(x - 0.825), fmax(Float64(-y), Float64(y - 0.55))))
	t_2 = fmax(Float64(-0.275 - 0.275), fmax(Float64(0.175 - -0.275), fmax(Float64(0.275 - y), fmax(fmax(Float64(x - 0.55), Float64(y - 0.55)), Float64(-x)))))
	tmp = 0.0
	if (y <= 2.55e+16)
		tmp = fmin(fmin(fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(-1.0, Float64(-y)))), fmin(t_0, fmin(Float64(hypot(Float64(0.7 - y), Float64(0.775 - x)) - 0.075), t_1))), t_2);
	else
		tmp = fmin(fmin(fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(Float64(y - 1.0), Float64(-y)))), fmin(t_0, fmin(Float64(y * Float64(1.0 - Float64(0.775 * Float64(1.0 / y)))), t_1))), t_2);
	end
	return tmp
end

      function tmp_2 = code(x, y)
	t_0 = max((0.45 - x), max((x - 0.55), max((y - 0.275), -y)));
	t_1 = max((0.725 - x), max((x - 0.825), max(-y, (y - 0.55))));
	t_2 = max((-0.275 - 0.275), max((0.175 - -0.275), max((0.275 - y), max(max((x - 0.55), (y - 0.55)), -x))));
	tmp = 0.0;
	if (y <= 2.55e+16)
		tmp = min(min(max(-x, max((x - 0.1), max(-1.0, -y))), min(t_0, min((hypot((0.7 - y), (0.775 - x)) - 0.075), t_1))), t_2);
	else
		tmp = min(min(max(-x, max((x - 0.1), max((y - 1.0), -y))), min(t_0, min((y * (1.0 - (0.775 * (1.0 / y)))), t_1))), t_2);
	end
	tmp_2 = tmp;
end

      code[x_, y_] := Block[{t$95$0 = N[Max[N[(0.45 - x), $MachinePrecision], N[Max[N[(x - 0.55), $MachinePrecision], N[Max[N[(y - 0.275), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[Max[N[(0.725 - x), $MachinePrecision], N[Max[N[(x - 0.825), $MachinePrecision], N[Max[(-y), N[(y - 0.55), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$2 = N[Max[N[(-0.275 - 0.275), $MachinePrecision], N[Max[N[(0.175 - -0.275), $MachinePrecision], N[Max[N[(0.275 - y), $MachinePrecision], N[Max[N[Max[N[(x - 0.55), $MachinePrecision], N[(y - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, If[LessEqual[y, 2.55e+16], N[Min[N[Min[N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[-1.0, (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Min[t$95$0, N[Min[N[(N[Sqrt[N[(0.7 - y), $MachinePrecision] ^ 2 + N[(0.775 - x), $MachinePrecision] ^ 2], $MachinePrecision] - 0.075), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$2], $MachinePrecision], N[Min[N[Min[N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[N[(y - 1.0), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Min[t$95$0, N[Min[N[(y * N[(1.0 - N[(0.775 * N[(1.0 / y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$2], $MachinePrecision]]]]]

      f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET tmp_2 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_3 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_1 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_2) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_3 ENDIF IN
	LET tmp_5 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_6 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_4 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_5) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_6 ENDIF IN
	LET tmp = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_1) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_4 ENDIF IN
	LET t_0 = tmp IN
		LET tmp_9 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_10 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_8 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_9) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_10 ENDIF IN
		LET tmp_12 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_13 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_11 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_12) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_13 ENDIF IN
		LET tmp_7 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_8) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_11 ENDIF IN
		LET t_1 = tmp_7 IN
			LET tmp_19 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_20 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_18 = IF (tmp_19 > (- x)) THEN tmp_20 ELSE (- x) ENDIF IN
			LET tmp_23 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_24 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_22 = IF (tmp_23 > (- x)) THEN tmp_24 ELSE (- x) ENDIF IN
			LET tmp_16 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_18) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_22 ENDIF IN
			LET tmp_28 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_29 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_27 = IF (tmp_28 > (- x)) THEN tmp_29 ELSE (- x) ENDIF IN
			LET tmp_32 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_33 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_31 = IF (tmp_32 > (- x)) THEN tmp_33 ELSE (- x) ENDIF IN
			LET tmp_25 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_27) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_31 ENDIF IN
			LET tmp_15 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_16) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_25 ENDIF IN
			LET tmp_38 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_39 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_37 = IF (tmp_38 > (- x)) THEN tmp_39 ELSE (- x) ENDIF IN
			LET tmp_42 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_43 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_41 = IF (tmp_42 > (- x)) THEN tmp_43 ELSE (- x) ENDIF IN
			LET tmp_35 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_37) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_41 ENDIF IN
			LET tmp_47 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_48 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_46 = IF (tmp_47 > (- x)) THEN tmp_48 ELSE (- x) ENDIF IN
			LET tmp_51 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_52 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
			LET tmp_50 = IF (tmp_51 > (- x)) THEN tmp_52 ELSE (- x) ENDIF IN
			LET tmp_44 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_46) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_50 ENDIF IN
			LET tmp_34 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_35) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_44 ENDIF IN
			LET tmp_14 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_15) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_34 ENDIF IN
			LET t_2 = tmp_14 IN
				LET tmp_178 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_179 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_177 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_178) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_179 ENDIF IN
				LET tmp_181 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_182 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_180 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_181) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_182 ENDIF IN
				LET tmp_176 = IF ((- x) > tmp_177) THEN (- x) ELSE tmp_180 ENDIF IN
				LET tmp_184 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_185 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_183 = IF (t_0 < tmp_184) THEN t_0 ELSE tmp_185 ENDIF IN
				LET tmp_188 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_189 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_187 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_188) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_189 ENDIF IN
				LET tmp_191 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_192 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_190 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_191) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_192 ENDIF IN
				LET tmp_186 = IF ((- x) > tmp_187) THEN (- x) ELSE tmp_190 ENDIF IN
				LET tmp_194 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_195 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_193 = IF (t_0 < tmp_194) THEN t_0 ELSE tmp_195 ENDIF IN
				LET tmp_175 = IF (tmp_176 < tmp_183) THEN tmp_186 ELSE tmp_193 ENDIF IN
				LET tmp_206 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_207 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_205 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_206) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_207 ENDIF IN
				LET tmp_209 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_210 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_208 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_209) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_210 ENDIF IN
				LET tmp_204 = IF ((- x) > tmp_205) THEN (- x) ELSE tmp_208 ENDIF IN
				LET tmp_212 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_213 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_211 = IF (t_0 < tmp_212) THEN t_0 ELSE tmp_213 ENDIF IN
				LET tmp_216 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_217 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_215 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_216) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_217 ENDIF IN
				LET tmp_219 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_220 = IF ((-1) > (- y)) THEN (-1) ELSE (- y) ENDIF IN
				LET tmp_218 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_219) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_220 ENDIF IN
				LET tmp_214 = IF ((- x) > tmp_215) THEN (- x) ELSE tmp_218 ENDIF IN
				LET tmp_222 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_223 = IF (((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) < t_1) THEN ((sqrt(((((6999999999999999555910790149937383830547332763671875e-52) - y) ^ (2)) + (((77500000000000002220446049250313080847263336181640625e-53) - x) ^ (2))))) - (7499999999999999722444243843710864894092082977294921875e-56)) ELSE t_1 ENDIF IN
				LET tmp_221 = IF (t_0 < tmp_222) THEN t_0 ELSE tmp_223 ENDIF IN
				LET tmp_203 = IF (tmp_204 < tmp_211) THEN tmp_214 ELSE tmp_221 ENDIF IN
				LET tmp_167 = IF (tmp_175 < t_2) THEN tmp_203 ELSE t_2 ENDIF IN
				LET tmp_263 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_264 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_262 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_263) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_264 ENDIF IN
				LET tmp_266 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_267 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_265 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_266) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_267 ENDIF IN
				LET tmp_261 = IF ((- x) > tmp_262) THEN (- x) ELSE tmp_265 ENDIF IN
				LET tmp_269 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_270 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_268 = IF (t_0 < tmp_269) THEN t_0 ELSE tmp_270 ENDIF IN
				LET tmp_273 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_274 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_272 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_273) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_274 ENDIF IN
				LET tmp_276 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_277 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_275 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_276) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_277 ENDIF IN
				LET tmp_271 = IF ((- x) > tmp_272) THEN (- x) ELSE tmp_275 ENDIF IN
				LET tmp_279 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_280 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_278 = IF (t_0 < tmp_279) THEN t_0 ELSE tmp_280 ENDIF IN
				LET tmp_260 = IF (tmp_261 < tmp_268) THEN tmp_271 ELSE tmp_278 ENDIF IN
				LET tmp_291 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_292 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_290 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_291) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_292 ENDIF IN
				LET tmp_294 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_295 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_293 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_294) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_295 ENDIF IN
				LET tmp_289 = IF ((- x) > tmp_290) THEN (- x) ELSE tmp_293 ENDIF IN
				LET tmp_297 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_298 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_296 = IF (t_0 < tmp_297) THEN t_0 ELSE tmp_298 ENDIF IN
				LET tmp_301 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_302 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_300 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_301) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_302 ENDIF IN
				LET tmp_304 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_305 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
				LET tmp_303 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_304) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_305 ENDIF IN
				LET tmp_299 = IF ((- x) > tmp_300) THEN (- x) ELSE tmp_303 ENDIF IN
				LET tmp_307 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_308 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_1) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_1 ENDIF IN
				LET tmp_306 = IF (t_0 < tmp_307) THEN t_0 ELSE tmp_308 ENDIF IN
				LET tmp_288 = IF (tmp_289 < tmp_296) THEN tmp_299 ELSE tmp_306 ENDIF IN
				LET tmp_252 = IF (tmp_260 < t_2) THEN tmp_288 ELSE t_2 ENDIF IN
				LET tmp_138 = IF (y <= (255e14)) THEN tmp_167 ELSE tmp_252 ENDIF IN
	tmp_138
END code
      \begin{array}{l}
t_0 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\
t_1 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\
t_2 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\
\mathbf{if}\;y \leq 2.55 \cdot 10^{+16}:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(-1, -y\right)\right)\right), \mathsf{min}\left(t\_0, \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, t\_1\right)\right)\right), t\_2\right)\\

\mathbf{else}:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(t\_0, \mathsf{min}\left(y \cdot \left(1 - 0.775 \cdot \frac{1}{y}\right), t\_1\right)\right)\right), t\_2\right)\\


\end{array}
      Derivation
      1. Split input into 2 regimes

      2. if y < 2.55e16

        1. Initial program 100.0%

          \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

        3. Applied rewrites100.0%

          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

        4. Taylor expanded in x around inf

          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
        5. Step-by-step derivation

          1. Applied rewrites100.0%

            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

          2. Taylor expanded in x around 0

            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
          3. Step-by-step derivation

            1. Applied rewrites100.0%

              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

            2. Taylor expanded in y around 0

              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(-1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
            3. Step-by-step derivation

              1. Applied rewrites81.6%

                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(-1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

              if 2.55e16 < y

              1. Initial program 100.0%

                \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

              3. Applied rewrites100.0%

                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

              4. Taylor expanded in x around inf

                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
              5. Step-by-step derivation

                1. Applied rewrites100.0%

                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                2. Taylor expanded in x around 0

                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                3. Step-by-step derivation

                  1. Applied rewrites100.0%

                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                  2. Taylor expanded in y around inf

                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(y \cdot \left(1 - \frac{31}{40} \cdot \frac{1}{y}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                  3. Step-by-step derivation

                    1. Applied rewrites20.7%

                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(y \cdot \left(1 - 0.775 \cdot \frac{1}{y}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                  4. Recombined 2 regimes into one program.
                  5. Add Preprocessing

                  Alternative 3: 75.1% accurate, 2.0× speedup?

                  \[\begin{array}{l} t_0 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\ t_1 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\ t_2 := \mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right)\\ t_3 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\ \mathbf{if}\;x \leq -2.1 \cdot 10^{+16}:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - 0.7 \cdot \frac{1}{x}\right)\right), t\_1\right)\right)\right), t\_3\right)\\ \mathbf{elif}\;x \leq 8000:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(-1 \cdot \left(y \cdot \left(1 - 0.625 \cdot \frac{1}{y}\right)\right), t\_1\right)\right)\right), t\_3\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), t\_1\right)\right)\right), t\_3\right)\\ \end{array} \]
                  (FPCore (x y)
  :precision binary64
  :pre TRUE
  (let* ((t_0
        (fmax (- 0.45 x) (fmax (- x 0.55) (fmax (- y 0.275) (- y)))))
       (t_1
        (fmax (- 0.725 x) (fmax (- x 0.825) (fmax (- y) (- y 0.55)))))
       (t_2 (fmax (- x) (fmax (- x 0.1) (fmax (- y 1.0) (- y)))))
       (t_3
        (fmax
         (- -0.275 0.275)
         (fmax
          (- 0.175 -0.275)
          (fmax
           (- 0.275 y)
           (fmax (fmax (- x 0.55) (- y 0.55)) (- x)))))))
  (if (<= x -2.1e+16)
    (fmin
     (fmin
      t_2
      (fmin t_0 (fmin (* -1.0 (* x (- 1.0 (* 0.7 (/ 1.0 x))))) t_1)))
     t_3)
    (if (<= x 8000.0)
      (fmin
       (fmin
        t_2
        (fmin
         t_0
         (fmin (* -1.0 (* y (- 1.0 (* 0.625 (/ 1.0 y))))) t_1)))
       t_3)
      (fmin
       (fmin
        t_2
        (fmin t_0 (fmin (* x (- 1.0 (* 0.85 (/ 1.0 x)))) t_1)))
       t_3)))))
                  double code(double x, double y) {
	double t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)));
	double t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (x <= -2.1e+16) {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3);
	} else if (x <= 8000.0) {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (y * (1.0 - (0.625 * (1.0 / y))))), t_1))), t_3);
	} else {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3);
	}
	return tmp;
}

                  real(8) function code(x, y)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_0 = fmax((0.45d0 - x), fmax((x - 0.55d0), fmax((y - 0.275d0), -y)))
    t_1 = fmax((0.725d0 - x), fmax((x - 0.825d0), fmax(-y, (y - 0.55d0))))
    t_2 = fmax(-x, fmax((x - 0.1d0), fmax((y - 1.0d0), -y)))
    t_3 = fmax(((-0.275d0) - 0.275d0), fmax((0.175d0 - (-0.275d0)), fmax((0.275d0 - y), fmax(fmax((x - 0.55d0), (y - 0.55d0)), -x))))
    if (x <= (-2.1d+16)) then
        tmp = fmin(fmin(t_2, fmin(t_0, fmin(((-1.0d0) * (x * (1.0d0 - (0.7d0 * (1.0d0 / x))))), t_1))), t_3)
    else if (x <= 8000.0d0) then
        tmp = fmin(fmin(t_2, fmin(t_0, fmin(((-1.0d0) * (y * (1.0d0 - (0.625d0 * (1.0d0 / y))))), t_1))), t_3)
    else
        tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0d0 - (0.85d0 * (1.0d0 / x)))), t_1))), t_3)
    end if
    code = tmp
end function

                  public static double code(double x, double y) {
	double t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)));
	double t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (x <= -2.1e+16) {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3);
	} else if (x <= 8000.0) {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (y * (1.0 - (0.625 * (1.0 / y))))), t_1))), t_3);
	} else {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3);
	}
	return tmp;
}

                  def code(x, y):
	t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)))
	t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))
	t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)))
	t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))))
	tmp = 0
	if x <= -2.1e+16:
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3)
	elif x <= 8000.0:
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (y * (1.0 - (0.625 * (1.0 / y))))), t_1))), t_3)
	else:
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3)
	return tmp

                  function code(x, y)
	t_0 = fmax(Float64(0.45 - x), fmax(Float64(x - 0.55), fmax(Float64(y - 0.275), Float64(-y))))
	t_1 = fmax(Float64(0.725 - x), fmax(Float64(x - 0.825), fmax(Float64(-y), Float64(y - 0.55))))
	t_2 = fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(Float64(y - 1.0), Float64(-y))))
	t_3 = fmax(Float64(-0.275 - 0.275), fmax(Float64(0.175 - -0.275), fmax(Float64(0.275 - y), fmax(fmax(Float64(x - 0.55), Float64(y - 0.55)), Float64(-x)))))
	tmp = 0.0
	if (x <= -2.1e+16)
		tmp = fmin(fmin(t_2, fmin(t_0, fmin(Float64(-1.0 * Float64(x * Float64(1.0 - Float64(0.7 * Float64(1.0 / x))))), t_1))), t_3);
	elseif (x <= 8000.0)
		tmp = fmin(fmin(t_2, fmin(t_0, fmin(Float64(-1.0 * Float64(y * Float64(1.0 - Float64(0.625 * Float64(1.0 / y))))), t_1))), t_3);
	else
		tmp = fmin(fmin(t_2, fmin(t_0, fmin(Float64(x * Float64(1.0 - Float64(0.85 * Float64(1.0 / x)))), t_1))), t_3);
	end
	return tmp
end

                  function tmp_2 = code(x, y)
	t_0 = max((0.45 - x), max((x - 0.55), max((y - 0.275), -y)));
	t_1 = max((0.725 - x), max((x - 0.825), max(-y, (y - 0.55))));
	t_2 = max(-x, max((x - 0.1), max((y - 1.0), -y)));
	t_3 = max((-0.275 - 0.275), max((0.175 - -0.275), max((0.275 - y), max(max((x - 0.55), (y - 0.55)), -x))));
	tmp = 0.0;
	if (x <= -2.1e+16)
		tmp = min(min(t_2, min(t_0, min((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3);
	elseif (x <= 8000.0)
		tmp = min(min(t_2, min(t_0, min((-1.0 * (y * (1.0 - (0.625 * (1.0 / y))))), t_1))), t_3);
	else
		tmp = min(min(t_2, min(t_0, min((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3);
	end
	tmp_2 = tmp;
end

                  code[x_, y_] := Block[{t$95$0 = N[Max[N[(0.45 - x), $MachinePrecision], N[Max[N[(x - 0.55), $MachinePrecision], N[Max[N[(y - 0.275), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[Max[N[(0.725 - x), $MachinePrecision], N[Max[N[(x - 0.825), $MachinePrecision], N[Max[(-y), N[(y - 0.55), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$2 = N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[N[(y - 1.0), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$3 = N[Max[N[(-0.275 - 0.275), $MachinePrecision], N[Max[N[(0.175 - -0.275), $MachinePrecision], N[Max[N[(0.275 - y), $MachinePrecision], N[Max[N[Max[N[(x - 0.55), $MachinePrecision], N[(y - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, If[LessEqual[x, -2.1e+16], N[Min[N[Min[t$95$2, N[Min[t$95$0, N[Min[N[(-1.0 * N[(x * N[(1.0 - N[(0.7 * N[(1.0 / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision], If[LessEqual[x, 8000.0], N[Min[N[Min[t$95$2, N[Min[t$95$0, N[Min[N[(-1.0 * N[(y * N[(1.0 - N[(0.625 * N[(1.0 / y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision], N[Min[N[Min[t$95$2, N[Min[t$95$0, N[Min[N[(x * N[(1.0 - N[(0.85 * N[(1.0 / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision]]]]]]]

                  f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET tmp_2 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_3 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_1 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_2) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_3 ENDIF IN
	LET tmp_5 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_6 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_4 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_5) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_6 ENDIF IN
	LET tmp = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_1) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_4 ENDIF IN
	LET t_0 = tmp IN
		LET tmp_9 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_10 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_8 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_9) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_10 ENDIF IN
		LET tmp_12 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_13 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_11 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_12) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_13 ENDIF IN
		LET tmp_7 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_8) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_11 ENDIF IN
		LET t_1 = tmp_7 IN
			LET tmp_16 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_17 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_15 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_16) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_17 ENDIF IN
			LET tmp_19 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_20 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_18 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_19) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_20 ENDIF IN
			LET tmp_14 = IF ((- x) > tmp_15) THEN (- x) ELSE tmp_18 ENDIF IN
			LET t_2 = tmp_14 IN
				LET tmp_26 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_27 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_25 = IF (tmp_26 > (- x)) THEN tmp_27 ELSE (- x) ENDIF IN
				LET tmp_30 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_31 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_29 = IF (tmp_30 > (- x)) THEN tmp_31 ELSE (- x) ENDIF IN
				LET tmp_23 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_25) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_29 ENDIF IN
				LET tmp_35 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_36 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_34 = IF (tmp_35 > (- x)) THEN tmp_36 ELSE (- x) ENDIF IN
				LET tmp_39 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_40 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_38 = IF (tmp_39 > (- x)) THEN tmp_40 ELSE (- x) ENDIF IN
				LET tmp_32 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_34) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_38 ENDIF IN
				LET tmp_22 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_23) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_32 ENDIF IN
				LET tmp_45 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_46 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_44 = IF (tmp_45 > (- x)) THEN tmp_46 ELSE (- x) ENDIF IN
				LET tmp_49 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_50 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_48 = IF (tmp_49 > (- x)) THEN tmp_50 ELSE (- x) ENDIF IN
				LET tmp_42 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_44) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_48 ENDIF IN
				LET tmp_54 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_55 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_53 = IF (tmp_54 > (- x)) THEN tmp_55 ELSE (- x) ENDIF IN
				LET tmp_58 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_59 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_57 = IF (tmp_58 > (- x)) THEN tmp_59 ELSE (- x) ENDIF IN
				LET tmp_51 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_53) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_57 ENDIF IN
				LET tmp_41 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_42) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_51 ENDIF IN
				LET tmp_21 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_22) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_41 ENDIF IN
				LET t_3 = tmp_21 IN
					LET tmp_93 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_94 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_92 = IF (t_0 < tmp_93) THEN t_0 ELSE tmp_94 ENDIF IN
					LET tmp_96 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_97 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_95 = IF (t_0 < tmp_96) THEN t_0 ELSE tmp_97 ENDIF IN
					LET tmp_91 = IF (t_2 < tmp_92) THEN t_2 ELSE tmp_95 ENDIF IN
					LET tmp_100 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_101 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_99 = IF (t_0 < tmp_100) THEN t_0 ELSE tmp_101 ENDIF IN
					LET tmp_103 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_104 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_102 = IF (t_0 < tmp_103) THEN t_0 ELSE tmp_104 ENDIF IN
					LET tmp_98 = IF (t_2 < tmp_99) THEN t_2 ELSE tmp_102 ENDIF IN
					LET tmp_90 = IF (tmp_91 < t_3) THEN tmp_98 ELSE t_3 ENDIF IN
					LET tmp_138 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_139 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_137 = IF (t_0 < tmp_138) THEN t_0 ELSE tmp_139 ENDIF IN
					LET tmp_141 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_142 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_140 = IF (t_0 < tmp_141) THEN t_0 ELSE tmp_142 ENDIF IN
					LET tmp_136 = IF (t_2 < tmp_137) THEN t_2 ELSE tmp_140 ENDIF IN
					LET tmp_145 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_146 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_144 = IF (t_0 < tmp_145) THEN t_0 ELSE tmp_146 ENDIF IN
					LET tmp_148 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_149 = IF (((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) < t_1) THEN ((-1) * (y * ((1) - ((625e-3) * ((1) / y))))) ELSE t_1 ENDIF IN
					LET tmp_147 = IF (t_0 < tmp_148) THEN t_0 ELSE tmp_149 ENDIF IN
					LET tmp_143 = IF (t_2 < tmp_144) THEN t_2 ELSE tmp_147 ENDIF IN
					LET tmp_135 = IF (tmp_136 < t_3) THEN tmp_143 ELSE t_3 ENDIF IN
					LET tmp_160 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_161 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_159 = IF (t_0 < tmp_160) THEN t_0 ELSE tmp_161 ENDIF IN
					LET tmp_163 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_164 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_162 = IF (t_0 < tmp_163) THEN t_0 ELSE tmp_164 ENDIF IN
					LET tmp_158 = IF (t_2 < tmp_159) THEN t_2 ELSE tmp_162 ENDIF IN
					LET tmp_167 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_168 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_166 = IF (t_0 < tmp_167) THEN t_0 ELSE tmp_168 ENDIF IN
					LET tmp_170 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_171 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_169 = IF (t_0 < tmp_170) THEN t_0 ELSE tmp_171 ENDIF IN
					LET tmp_165 = IF (t_2 < tmp_166) THEN t_2 ELSE tmp_169 ENDIF IN
					LET tmp_157 = IF (tmp_158 < t_3) THEN tmp_165 ELSE t_3 ENDIF IN
					LET tmp_127 = IF (x <= (8000)) THEN tmp_135 ELSE tmp_157 ENDIF IN
					LET tmp_82 = IF (x <= (-21e15)) THEN tmp_90 ELSE tmp_127 ENDIF IN
	tmp_82
END code
                  \begin{array}{l}
t_0 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\
t_1 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\
t_2 := \mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right)\\
t_3 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\
\mathbf{if}\;x \leq -2.1 \cdot 10^{+16}:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - 0.7 \cdot \frac{1}{x}\right)\right), t\_1\right)\right)\right), t\_3\right)\\

\mathbf{elif}\;x \leq 8000:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(-1 \cdot \left(y \cdot \left(1 - 0.625 \cdot \frac{1}{y}\right)\right), t\_1\right)\right)\right), t\_3\right)\\

\mathbf{else}:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), t\_1\right)\right)\right), t\_3\right)\\


\end{array}
                  Derivation
                  1. Split input into 3 regimes

                  2. if x < -2.1e16

                    1. Initial program 100.0%

                      \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                    3. Applied rewrites100.0%

                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                    4. Taylor expanded in x around inf

                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                    5. Step-by-step derivation

                      1. Applied rewrites100.0%

                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                      2. Taylor expanded in x around 0

                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                      3. Step-by-step derivation

                        1. Applied rewrites100.0%

                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                        2. Taylor expanded in x around -inf

                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - \frac{7}{10} \cdot \frac{1}{x}\right)\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                        3. Step-by-step derivation

                          1. Applied rewrites45.1%

                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - 0.7 \cdot \frac{1}{x}\right)\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                          if -2.1e16 < x < 8e3

                          1. Initial program 100.0%

                            \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                          3. Applied rewrites100.0%

                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                          4. Taylor expanded in x around inf

                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                          5. Step-by-step derivation

                            1. Applied rewrites100.0%

                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                            2. Taylor expanded in x around 0

                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                            3. Step-by-step derivation

                              1. Applied rewrites100.0%

                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                              2. Taylor expanded in y around -inf

                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(-1 \cdot \left(y \cdot \left(1 - \frac{5}{8} \cdot \frac{1}{y}\right)\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                              3. Step-by-step derivation

                                1. Applied rewrites46.2%

                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(-1 \cdot \left(y \cdot \left(1 - 0.625 \cdot \frac{1}{y}\right)\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                if 8e3 < x

                                1. Initial program 100.0%

                                  \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                                3. Applied rewrites100.0%

                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                4. Taylor expanded in x around inf

                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                5. Step-by-step derivation

                                  1. Applied rewrites100.0%

                                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                  2. Taylor expanded in x around 0

                                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                  3. Step-by-step derivation

                                    1. Applied rewrites100.0%

                                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                    2. Taylor expanded in x around inf

                                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - \frac{17}{20} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                    3. Step-by-step derivation

                                      1. Applied rewrites20.0%

                                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                    4. Recombined 3 regimes into one program.
                                    5. Add Preprocessing

                                    Alternative 4: 63.8% accurate, 2.0× speedup?

                                    \[\begin{array}{l} t_0 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\ t_1 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\ t_2 := \mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right)\\ t_3 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\ \mathbf{if}\;x \leq 0.76:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - 0.7 \cdot \frac{1}{x}\right)\right), t\_1\right)\right)\right), t\_3\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), t\_1\right)\right)\right), t\_3\right)\\ \end{array} \]
                                    (FPCore (x y)
  :precision binary64
  :pre TRUE
  (let* ((t_0
        (fmax (- 0.45 x) (fmax (- x 0.55) (fmax (- y 0.275) (- y)))))
       (t_1
        (fmax (- 0.725 x) (fmax (- x 0.825) (fmax (- y) (- y 0.55)))))
       (t_2 (fmax (- x) (fmax (- x 0.1) (fmax (- y 1.0) (- y)))))
       (t_3
        (fmax
         (- -0.275 0.275)
         (fmax
          (- 0.175 -0.275)
          (fmax
           (- 0.275 y)
           (fmax (fmax (- x 0.55) (- y 0.55)) (- x)))))))
  (if (<= x 0.76)
    (fmin
     (fmin
      t_2
      (fmin t_0 (fmin (* -1.0 (* x (- 1.0 (* 0.7 (/ 1.0 x))))) t_1)))
     t_3)
    (fmin
     (fmin t_2 (fmin t_0 (fmin (* x (- 1.0 (* 0.85 (/ 1.0 x)))) t_1)))
     t_3))))
                                    double code(double x, double y) {
	double t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)));
	double t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (x <= 0.76) {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3);
	} else {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3);
	}
	return tmp;
}

                                    real(8) function code(x, y)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_0 = fmax((0.45d0 - x), fmax((x - 0.55d0), fmax((y - 0.275d0), -y)))
    t_1 = fmax((0.725d0 - x), fmax((x - 0.825d0), fmax(-y, (y - 0.55d0))))
    t_2 = fmax(-x, fmax((x - 0.1d0), fmax((y - 1.0d0), -y)))
    t_3 = fmax(((-0.275d0) - 0.275d0), fmax((0.175d0 - (-0.275d0)), fmax((0.275d0 - y), fmax(fmax((x - 0.55d0), (y - 0.55d0)), -x))))
    if (x <= 0.76d0) then
        tmp = fmin(fmin(t_2, fmin(t_0, fmin(((-1.0d0) * (x * (1.0d0 - (0.7d0 * (1.0d0 / x))))), t_1))), t_3)
    else
        tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0d0 - (0.85d0 * (1.0d0 / x)))), t_1))), t_3)
    end if
    code = tmp
end function

                                    public static double code(double x, double y) {
	double t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)));
	double t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (x <= 0.76) {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3);
	} else {
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3);
	}
	return tmp;
}

                                    def code(x, y):
	t_0 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)))
	t_1 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))
	t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)))
	t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))))
	tmp = 0
	if x <= 0.76:
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3)
	else:
		tmp = fmin(fmin(t_2, fmin(t_0, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3)
	return tmp

                                    function code(x, y)
	t_0 = fmax(Float64(0.45 - x), fmax(Float64(x - 0.55), fmax(Float64(y - 0.275), Float64(-y))))
	t_1 = fmax(Float64(0.725 - x), fmax(Float64(x - 0.825), fmax(Float64(-y), Float64(y - 0.55))))
	t_2 = fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(Float64(y - 1.0), Float64(-y))))
	t_3 = fmax(Float64(-0.275 - 0.275), fmax(Float64(0.175 - -0.275), fmax(Float64(0.275 - y), fmax(fmax(Float64(x - 0.55), Float64(y - 0.55)), Float64(-x)))))
	tmp = 0.0
	if (x <= 0.76)
		tmp = fmin(fmin(t_2, fmin(t_0, fmin(Float64(-1.0 * Float64(x * Float64(1.0 - Float64(0.7 * Float64(1.0 / x))))), t_1))), t_3);
	else
		tmp = fmin(fmin(t_2, fmin(t_0, fmin(Float64(x * Float64(1.0 - Float64(0.85 * Float64(1.0 / x)))), t_1))), t_3);
	end
	return tmp
end

                                    function tmp_2 = code(x, y)
	t_0 = max((0.45 - x), max((x - 0.55), max((y - 0.275), -y)));
	t_1 = max((0.725 - x), max((x - 0.825), max(-y, (y - 0.55))));
	t_2 = max(-x, max((x - 0.1), max((y - 1.0), -y)));
	t_3 = max((-0.275 - 0.275), max((0.175 - -0.275), max((0.275 - y), max(max((x - 0.55), (y - 0.55)), -x))));
	tmp = 0.0;
	if (x <= 0.76)
		tmp = min(min(t_2, min(t_0, min((-1.0 * (x * (1.0 - (0.7 * (1.0 / x))))), t_1))), t_3);
	else
		tmp = min(min(t_2, min(t_0, min((x * (1.0 - (0.85 * (1.0 / x)))), t_1))), t_3);
	end
	tmp_2 = tmp;
end

                                    code[x_, y_] := Block[{t$95$0 = N[Max[N[(0.45 - x), $MachinePrecision], N[Max[N[(x - 0.55), $MachinePrecision], N[Max[N[(y - 0.275), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[Max[N[(0.725 - x), $MachinePrecision], N[Max[N[(x - 0.825), $MachinePrecision], N[Max[(-y), N[(y - 0.55), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$2 = N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[N[(y - 1.0), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$3 = N[Max[N[(-0.275 - 0.275), $MachinePrecision], N[Max[N[(0.175 - -0.275), $MachinePrecision], N[Max[N[(0.275 - y), $MachinePrecision], N[Max[N[Max[N[(x - 0.55), $MachinePrecision], N[(y - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, If[LessEqual[x, 0.76], N[Min[N[Min[t$95$2, N[Min[t$95$0, N[Min[N[(-1.0 * N[(x * N[(1.0 - N[(0.7 * N[(1.0 / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision], N[Min[N[Min[t$95$2, N[Min[t$95$0, N[Min[N[(x * N[(1.0 - N[(0.85 * N[(1.0 / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision]]]]]]

                                    f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET tmp_2 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_3 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_1 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_2) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_3 ENDIF IN
	LET tmp_5 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_6 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_4 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_5) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_6 ENDIF IN
	LET tmp = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_1) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_4 ENDIF IN
	LET t_0 = tmp IN
		LET tmp_9 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_10 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_8 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_9) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_10 ENDIF IN
		LET tmp_12 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_13 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
		LET tmp_11 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_12) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_13 ENDIF IN
		LET tmp_7 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_8) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_11 ENDIF IN
		LET t_1 = tmp_7 IN
			LET tmp_16 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_17 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_15 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_16) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_17 ENDIF IN
			LET tmp_19 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_20 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_18 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_19) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_20 ENDIF IN
			LET tmp_14 = IF ((- x) > tmp_15) THEN (- x) ELSE tmp_18 ENDIF IN
			LET t_2 = tmp_14 IN
				LET tmp_26 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_27 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_25 = IF (tmp_26 > (- x)) THEN tmp_27 ELSE (- x) ENDIF IN
				LET tmp_30 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_31 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_29 = IF (tmp_30 > (- x)) THEN tmp_31 ELSE (- x) ENDIF IN
				LET tmp_23 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_25) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_29 ENDIF IN
				LET tmp_35 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_36 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_34 = IF (tmp_35 > (- x)) THEN tmp_36 ELSE (- x) ENDIF IN
				LET tmp_39 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_40 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_38 = IF (tmp_39 > (- x)) THEN tmp_40 ELSE (- x) ENDIF IN
				LET tmp_32 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_34) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_38 ENDIF IN
				LET tmp_22 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_23) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_32 ENDIF IN
				LET tmp_45 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_46 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_44 = IF (tmp_45 > (- x)) THEN tmp_46 ELSE (- x) ENDIF IN
				LET tmp_49 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_50 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_48 = IF (tmp_49 > (- x)) THEN tmp_50 ELSE (- x) ENDIF IN
				LET tmp_42 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_44) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_48 ENDIF IN
				LET tmp_54 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_55 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_53 = IF (tmp_54 > (- x)) THEN tmp_55 ELSE (- x) ENDIF IN
				LET tmp_58 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_59 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_57 = IF (tmp_58 > (- x)) THEN tmp_59 ELSE (- x) ENDIF IN
				LET tmp_51 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_53) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_57 ENDIF IN
				LET tmp_41 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_42) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_51 ENDIF IN
				LET tmp_21 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_22) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_41 ENDIF IN
				LET t_3 = tmp_21 IN
					LET tmp_93 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_94 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_92 = IF (t_0 < tmp_93) THEN t_0 ELSE tmp_94 ENDIF IN
					LET tmp_96 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_97 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_95 = IF (t_0 < tmp_96) THEN t_0 ELSE tmp_97 ENDIF IN
					LET tmp_91 = IF (t_2 < tmp_92) THEN t_2 ELSE tmp_95 ENDIF IN
					LET tmp_100 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_101 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_99 = IF (t_0 < tmp_100) THEN t_0 ELSE tmp_101 ENDIF IN
					LET tmp_103 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_104 = IF (((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) < t_1) THEN ((-1) * (x * ((1) - ((6999999999999999555910790149937383830547332763671875e-52) * ((1) / x))))) ELSE t_1 ENDIF IN
					LET tmp_102 = IF (t_0 < tmp_103) THEN t_0 ELSE tmp_104 ENDIF IN
					LET tmp_98 = IF (t_2 < tmp_99) THEN t_2 ELSE tmp_102 ENDIF IN
					LET tmp_90 = IF (tmp_91 < t_3) THEN tmp_98 ELSE t_3 ENDIF IN
					LET tmp_115 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_116 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_114 = IF (t_0 < tmp_115) THEN t_0 ELSE tmp_116 ENDIF IN
					LET tmp_118 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_119 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_117 = IF (t_0 < tmp_118) THEN t_0 ELSE tmp_119 ENDIF IN
					LET tmp_113 = IF (t_2 < tmp_114) THEN t_2 ELSE tmp_117 ENDIF IN
					LET tmp_122 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_123 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_121 = IF (t_0 < tmp_122) THEN t_0 ELSE tmp_123 ENDIF IN
					LET tmp_125 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_126 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_1) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_1 ENDIF IN
					LET tmp_124 = IF (t_0 < tmp_125) THEN t_0 ELSE tmp_126 ENDIF IN
					LET tmp_120 = IF (t_2 < tmp_121) THEN t_2 ELSE tmp_124 ENDIF IN
					LET tmp_112 = IF (tmp_113 < t_3) THEN tmp_120 ELSE t_3 ENDIF IN
					LET tmp_82 = IF (x <= (7600000000000000088817841970012523233890533447265625e-52)) THEN tmp_90 ELSE tmp_112 ENDIF IN
	tmp_82
END code
                                    \begin{array}{l}
t_0 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\
t_1 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\
t_2 := \mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right)\\
t_3 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\
\mathbf{if}\;x \leq 0.76:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - 0.7 \cdot \frac{1}{x}\right)\right), t\_1\right)\right)\right), t\_3\right)\\

\mathbf{else}:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_0, \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), t\_1\right)\right)\right), t\_3\right)\\


\end{array}
                                    Derivation
                                    1. Split input into 2 regimes

                                    2. if x < 0.76000000000000001

                                      1. Initial program 100.0%

                                        \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                                      3. Applied rewrites100.0%

                                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                      4. Taylor expanded in x around inf

                                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                      5. Step-by-step derivation

                                        1. Applied rewrites100.0%

                                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                        2. Taylor expanded in x around 0

                                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                        3. Step-by-step derivation

                                          1. Applied rewrites100.0%

                                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                          2. Taylor expanded in x around -inf

                                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - \frac{7}{10} \cdot \frac{1}{x}\right)\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                          3. Step-by-step derivation

                                            1. Applied rewrites45.1%

                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(-1 \cdot \left(x \cdot \left(1 - 0.7 \cdot \frac{1}{x}\right)\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                            if 0.76000000000000001 < x

                                            1. Initial program 100.0%

                                              \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                                            3. Applied rewrites100.0%

                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                            4. Taylor expanded in x around inf

                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                            5. Step-by-step derivation

                                              1. Applied rewrites100.0%

                                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                              2. Taylor expanded in x around 0

                                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                              3. Step-by-step derivation

                                                1. Applied rewrites100.0%

                                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                2. Taylor expanded in x around inf

                                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - \frac{17}{20} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                3. Step-by-step derivation

                                                  1. Applied rewrites20.0%

                                                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                4. Recombined 2 regimes into one program.
                                                5. Add Preprocessing

                                                Alternative 5: 35.9% accurate, 2.1× speedup?

                                                \[\begin{array}{l} t_0 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\ t_1 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\ t_2 := \mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right)\\ t_3 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\ \mathbf{if}\;x \leq 0.00025:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_1, \mathsf{min}\left(y \cdot \left(1 - 0.775 \cdot \frac{1}{y}\right), t\_0\right)\right)\right), t\_3\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_1, \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), t\_0\right)\right)\right), t\_3\right)\\ \end{array} \]
                                                (FPCore (x y)
  :precision binary64
  :pre TRUE
  (let* ((t_0
        (fmax (- 0.725 x) (fmax (- x 0.825) (fmax (- y) (- y 0.55)))))
       (t_1
        (fmax (- 0.45 x) (fmax (- x 0.55) (fmax (- y 0.275) (- y)))))
       (t_2 (fmax (- x) (fmax (- x 0.1) (fmax (- y 1.0) (- y)))))
       (t_3
        (fmax
         (- -0.275 0.275)
         (fmax
          (- 0.175 -0.275)
          (fmax
           (- 0.275 y)
           (fmax (fmax (- x 0.55) (- y 0.55)) (- x)))))))
  (if (<= x 0.00025)
    (fmin
     (fmin
      t_2
      (fmin t_1 (fmin (* y (- 1.0 (* 0.775 (/ 1.0 y)))) t_0)))
     t_3)
    (fmin
     (fmin t_2 (fmin t_1 (fmin (* x (- 1.0 (* 0.85 (/ 1.0 x)))) t_0)))
     t_3))))
                                                double code(double x, double y) {
	double t_0 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_1 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)));
	double t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (x <= 0.00025) {
		tmp = fmin(fmin(t_2, fmin(t_1, fmin((y * (1.0 - (0.775 * (1.0 / y)))), t_0))), t_3);
	} else {
		tmp = fmin(fmin(t_2, fmin(t_1, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_0))), t_3);
	}
	return tmp;
}

                                                real(8) function code(x, y)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_0 = fmax((0.725d0 - x), fmax((x - 0.825d0), fmax(-y, (y - 0.55d0))))
    t_1 = fmax((0.45d0 - x), fmax((x - 0.55d0), fmax((y - 0.275d0), -y)))
    t_2 = fmax(-x, fmax((x - 0.1d0), fmax((y - 1.0d0), -y)))
    t_3 = fmax(((-0.275d0) - 0.275d0), fmax((0.175d0 - (-0.275d0)), fmax((0.275d0 - y), fmax(fmax((x - 0.55d0), (y - 0.55d0)), -x))))
    if (x <= 0.00025d0) then
        tmp = fmin(fmin(t_2, fmin(t_1, fmin((y * (1.0d0 - (0.775d0 * (1.0d0 / y)))), t_0))), t_3)
    else
        tmp = fmin(fmin(t_2, fmin(t_1, fmin((x * (1.0d0 - (0.85d0 * (1.0d0 / x)))), t_0))), t_3)
    end if
    code = tmp
end function

                                                public static double code(double x, double y) {
	double t_0 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))));
	double t_1 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)));
	double t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)));
	double t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))));
	double tmp;
	if (x <= 0.00025) {
		tmp = fmin(fmin(t_2, fmin(t_1, fmin((y * (1.0 - (0.775 * (1.0 / y)))), t_0))), t_3);
	} else {
		tmp = fmin(fmin(t_2, fmin(t_1, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_0))), t_3);
	}
	return tmp;
}

                                                def code(x, y):
	t_0 = fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))
	t_1 = fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y)))
	t_2 = fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y)))
	t_3 = fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x))))
	tmp = 0
	if x <= 0.00025:
		tmp = fmin(fmin(t_2, fmin(t_1, fmin((y * (1.0 - (0.775 * (1.0 / y)))), t_0))), t_3)
	else:
		tmp = fmin(fmin(t_2, fmin(t_1, fmin((x * (1.0 - (0.85 * (1.0 / x)))), t_0))), t_3)
	return tmp

                                                function code(x, y)
	t_0 = fmax(Float64(0.725 - x), fmax(Float64(x - 0.825), fmax(Float64(-y), Float64(y - 0.55))))
	t_1 = fmax(Float64(0.45 - x), fmax(Float64(x - 0.55), fmax(Float64(y - 0.275), Float64(-y))))
	t_2 = fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(Float64(y - 1.0), Float64(-y))))
	t_3 = fmax(Float64(-0.275 - 0.275), fmax(Float64(0.175 - -0.275), fmax(Float64(0.275 - y), fmax(fmax(Float64(x - 0.55), Float64(y - 0.55)), Float64(-x)))))
	tmp = 0.0
	if (x <= 0.00025)
		tmp = fmin(fmin(t_2, fmin(t_1, fmin(Float64(y * Float64(1.0 - Float64(0.775 * Float64(1.0 / y)))), t_0))), t_3);
	else
		tmp = fmin(fmin(t_2, fmin(t_1, fmin(Float64(x * Float64(1.0 - Float64(0.85 * Float64(1.0 / x)))), t_0))), t_3);
	end
	return tmp
end

                                                function tmp_2 = code(x, y)
	t_0 = max((0.725 - x), max((x - 0.825), max(-y, (y - 0.55))));
	t_1 = max((0.45 - x), max((x - 0.55), max((y - 0.275), -y)));
	t_2 = max(-x, max((x - 0.1), max((y - 1.0), -y)));
	t_3 = max((-0.275 - 0.275), max((0.175 - -0.275), max((0.275 - y), max(max((x - 0.55), (y - 0.55)), -x))));
	tmp = 0.0;
	if (x <= 0.00025)
		tmp = min(min(t_2, min(t_1, min((y * (1.0 - (0.775 * (1.0 / y)))), t_0))), t_3);
	else
		tmp = min(min(t_2, min(t_1, min((x * (1.0 - (0.85 * (1.0 / x)))), t_0))), t_3);
	end
	tmp_2 = tmp;
end

                                                code[x_, y_] := Block[{t$95$0 = N[Max[N[(0.725 - x), $MachinePrecision], N[Max[N[(x - 0.825), $MachinePrecision], N[Max[(-y), N[(y - 0.55), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[Max[N[(0.45 - x), $MachinePrecision], N[Max[N[(x - 0.55), $MachinePrecision], N[Max[N[(y - 0.275), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$2 = N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[N[(y - 1.0), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, Block[{t$95$3 = N[Max[N[(-0.275 - 0.275), $MachinePrecision], N[Max[N[(0.175 - -0.275), $MachinePrecision], N[Max[N[(0.275 - y), $MachinePrecision], N[Max[N[Max[N[(x - 0.55), $MachinePrecision], N[(y - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]}, If[LessEqual[x, 0.00025], N[Min[N[Min[t$95$2, N[Min[t$95$1, N[Min[N[(y * N[(1.0 - N[(0.775 * N[(1.0 / y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$0], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision], N[Min[N[Min[t$95$2, N[Min[t$95$1, N[Min[N[(x * N[(1.0 - N[(0.85 * N[(1.0 / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$0], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], t$95$3], $MachinePrecision]]]]]]

                                                f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET tmp_2 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_3 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_1 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_2) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_3 ENDIF IN
	LET tmp_5 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_6 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_4 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_5) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_6 ENDIF IN
	LET tmp = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_1) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_4 ENDIF IN
	LET t_0 = tmp IN
		LET tmp_9 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
		LET tmp_10 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
		LET tmp_8 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_9) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_10 ENDIF IN
		LET tmp_12 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
		LET tmp_13 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
		LET tmp_11 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_12) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_13 ENDIF IN
		LET tmp_7 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_8) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_11 ENDIF IN
		LET t_1 = tmp_7 IN
			LET tmp_16 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_17 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_15 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_16) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_17 ENDIF IN
			LET tmp_19 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_20 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
			LET tmp_18 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_19) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_20 ENDIF IN
			LET tmp_14 = IF ((- x) > tmp_15) THEN (- x) ELSE tmp_18 ENDIF IN
			LET t_2 = tmp_14 IN
				LET tmp_26 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_27 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_25 = IF (tmp_26 > (- x)) THEN tmp_27 ELSE (- x) ENDIF IN
				LET tmp_30 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_31 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_29 = IF (tmp_30 > (- x)) THEN tmp_31 ELSE (- x) ENDIF IN
				LET tmp_23 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_25) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_29 ENDIF IN
				LET tmp_35 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_36 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_34 = IF (tmp_35 > (- x)) THEN tmp_36 ELSE (- x) ENDIF IN
				LET tmp_39 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_40 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_38 = IF (tmp_39 > (- x)) THEN tmp_40 ELSE (- x) ENDIF IN
				LET tmp_32 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_34) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_38 ENDIF IN
				LET tmp_22 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_23) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_32 ENDIF IN
				LET tmp_45 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_46 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_44 = IF (tmp_45 > (- x)) THEN tmp_46 ELSE (- x) ENDIF IN
				LET tmp_49 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_50 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_48 = IF (tmp_49 > (- x)) THEN tmp_50 ELSE (- x) ENDIF IN
				LET tmp_42 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_44) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_48 ENDIF IN
				LET tmp_54 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_55 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_53 = IF (tmp_54 > (- x)) THEN tmp_55 ELSE (- x) ENDIF IN
				LET tmp_58 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_59 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
				LET tmp_57 = IF (tmp_58 > (- x)) THEN tmp_59 ELSE (- x) ENDIF IN
				LET tmp_51 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_53) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_57 ENDIF IN
				LET tmp_41 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_42) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_51 ENDIF IN
				LET tmp_21 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_22) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_41 ENDIF IN
				LET t_3 = tmp_21 IN
					LET tmp_93 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_94 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_92 = IF (t_1 < tmp_93) THEN t_1 ELSE tmp_94 ENDIF IN
					LET tmp_96 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_97 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_95 = IF (t_1 < tmp_96) THEN t_1 ELSE tmp_97 ENDIF IN
					LET tmp_91 = IF (t_2 < tmp_92) THEN t_2 ELSE tmp_95 ENDIF IN
					LET tmp_100 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_101 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_99 = IF (t_1 < tmp_100) THEN t_1 ELSE tmp_101 ENDIF IN
					LET tmp_103 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_104 = IF ((y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) < t_0) THEN (y * ((1) - ((77500000000000002220446049250313080847263336181640625e-53) * ((1) / y)))) ELSE t_0 ENDIF IN
					LET tmp_102 = IF (t_1 < tmp_103) THEN t_1 ELSE tmp_104 ENDIF IN
					LET tmp_98 = IF (t_2 < tmp_99) THEN t_2 ELSE tmp_102 ENDIF IN
					LET tmp_90 = IF (tmp_91 < t_3) THEN tmp_98 ELSE t_3 ENDIF IN
					LET tmp_115 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_116 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_114 = IF (t_1 < tmp_115) THEN t_1 ELSE tmp_116 ENDIF IN
					LET tmp_118 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_119 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_117 = IF (t_1 < tmp_118) THEN t_1 ELSE tmp_119 ENDIF IN
					LET tmp_113 = IF (t_2 < tmp_114) THEN t_2 ELSE tmp_117 ENDIF IN
					LET tmp_122 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_123 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_121 = IF (t_1 < tmp_122) THEN t_1 ELSE tmp_123 ENDIF IN
					LET tmp_125 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_126 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < t_0) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE t_0 ENDIF IN
					LET tmp_124 = IF (t_1 < tmp_125) THEN t_1 ELSE tmp_126 ENDIF IN
					LET tmp_120 = IF (t_2 < tmp_121) THEN t_2 ELSE tmp_124 ENDIF IN
					LET tmp_112 = IF (tmp_113 < t_3) THEN tmp_120 ELSE t_3 ENDIF IN
					LET tmp_82 = IF (x <= (25000000000000000520417042793042128323577344417572021484375e-62)) THEN tmp_90 ELSE tmp_112 ENDIF IN
	tmp_82
END code
                                                \begin{array}{l}
t_0 := \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\\
t_1 := \mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right)\\
t_2 := \mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right)\\
t_3 := \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\\
\mathbf{if}\;x \leq 0.00025:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_1, \mathsf{min}\left(y \cdot \left(1 - 0.775 \cdot \frac{1}{y}\right), t\_0\right)\right)\right), t\_3\right)\\

\mathbf{else}:\\
\;\;\;\;\mathsf{min}\left(\mathsf{min}\left(t\_2, \mathsf{min}\left(t\_1, \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), t\_0\right)\right)\right), t\_3\right)\\


\end{array}
                                                Derivation
                                                1. Split input into 2 regimes

                                                2. if x < 2.5000000000000001e-4

                                                  1. Initial program 100.0%

                                                    \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                                                  3. Applied rewrites100.0%

                                                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                  4. Taylor expanded in x around inf

                                                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                  5. Step-by-step derivation

                                                    1. Applied rewrites100.0%

                                                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                    2. Taylor expanded in x around 0

                                                      \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                    3. Step-by-step derivation

                                                      1. Applied rewrites100.0%

                                                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                      2. Taylor expanded in y around inf

                                                        \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(y \cdot \left(1 - \frac{31}{40} \cdot \frac{1}{y}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                      3. Step-by-step derivation

                                                        1. Applied rewrites20.7%

                                                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(y \cdot \left(1 - 0.775 \cdot \frac{1}{y}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                        if 2.5000000000000001e-4 < x

                                                        1. Initial program 100.0%

                                                          \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                                                        3. Applied rewrites100.0%

                                                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                        4. Taylor expanded in x around inf

                                                          \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                        5. Step-by-step derivation

                                                          1. Applied rewrites100.0%

                                                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                          2. Taylor expanded in x around 0

                                                            \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                          3. Step-by-step derivation

                                                            1. Applied rewrites100.0%

                                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                            2. Taylor expanded in x around inf

                                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - \frac{17}{20} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                            3. Step-by-step derivation

                                                              1. Applied rewrites20.0%

                                                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                            4. Recombined 2 regimes into one program.
                                                            5. Add Preprocessing

                                                            Alternative 6: 20.0% accurate, 2.1× speedup?

                                                            \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                            (FPCore (x y)
  :precision binary64
  :pre TRUE
  (fmin
 (fmin
  (fmax (- x) (fmax (- x 0.1) (fmax (- y 1.0) (- y))))
  (fmin
   (fmax (- 0.45 x) (fmax (- x 0.55) (fmax (- y 0.275) (- y))))
   (fmin
    (* x (- 1.0 (* 0.85 (/ 1.0 x))))
    (fmax (- 0.725 x) (fmax (- x 0.825) (fmax (- y) (- y 0.55)))))))
 (fmax
  (- -0.275 0.275)
  (fmax
   (- 0.175 -0.275)
   (fmax (- 0.275 y) (fmax (fmax (- x 0.55) (- y 0.55)) (- x)))))))
                                                            double code(double x, double y) {
	return fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y))), fmin((x * (1.0 - (0.85 * (1.0 / x)))), fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))))), fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x)))));
}

                                                            real(8) function code(x, y)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = fmin(fmin(fmax(-x, fmax((x - 0.1d0), fmax((y - 1.0d0), -y))), fmin(fmax((0.45d0 - x), fmax((x - 0.55d0), fmax((y - 0.275d0), -y))), fmin((x * (1.0d0 - (0.85d0 * (1.0d0 / x)))), fmax((0.725d0 - x), fmax((x - 0.825d0), fmax(-y, (y - 0.55d0))))))), fmax(((-0.275d0) - 0.275d0), fmax((0.175d0 - (-0.275d0)), fmax((0.275d0 - y), fmax(fmax((x - 0.55d0), (y - 0.55d0)), -x)))))
end function

                                                            public static double code(double x, double y) {
	return fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y))), fmin((x * (1.0 - (0.85 * (1.0 / x)))), fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))))), fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x)))));
}

                                                            def code(x, y):
	return fmin(fmin(fmax(-x, fmax((x - 0.1), fmax((y - 1.0), -y))), fmin(fmax((0.45 - x), fmax((x - 0.55), fmax((y - 0.275), -y))), fmin((x * (1.0 - (0.85 * (1.0 / x)))), fmax((0.725 - x), fmax((x - 0.825), fmax(-y, (y - 0.55))))))), fmax((-0.275 - 0.275), fmax((0.175 - -0.275), fmax((0.275 - y), fmax(fmax((x - 0.55), (y - 0.55)), -x)))))

                                                            function code(x, y)
	return fmin(fmin(fmax(Float64(-x), fmax(Float64(x - 0.1), fmax(Float64(y - 1.0), Float64(-y)))), fmin(fmax(Float64(0.45 - x), fmax(Float64(x - 0.55), fmax(Float64(y - 0.275), Float64(-y)))), fmin(Float64(x * Float64(1.0 - Float64(0.85 * Float64(1.0 / x)))), fmax(Float64(0.725 - x), fmax(Float64(x - 0.825), fmax(Float64(-y), Float64(y - 0.55))))))), fmax(Float64(-0.275 - 0.275), fmax(Float64(0.175 - -0.275), fmax(Float64(0.275 - y), fmax(fmax(Float64(x - 0.55), Float64(y - 0.55)), Float64(-x))))))
end

                                                            function tmp = code(x, y)
	tmp = min(min(max(-x, max((x - 0.1), max((y - 1.0), -y))), min(max((0.45 - x), max((x - 0.55), max((y - 0.275), -y))), min((x * (1.0 - (0.85 * (1.0 / x)))), max((0.725 - x), max((x - 0.825), max(-y, (y - 0.55))))))), max((-0.275 - 0.275), max((0.175 - -0.275), max((0.275 - y), max(max((x - 0.55), (y - 0.55)), -x)))));
end

                                                            code[x_, y_] := N[Min[N[Min[N[Max[(-x), N[Max[N[(x - 0.1), $MachinePrecision], N[Max[N[(y - 1.0), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Min[N[Max[N[(0.45 - x), $MachinePrecision], N[Max[N[(x - 0.55), $MachinePrecision], N[Max[N[(y - 0.275), $MachinePrecision], (-y)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Min[N[(x * N[(1.0 - N[(0.85 * N[(1.0 / x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[Max[N[(0.725 - x), $MachinePrecision], N[Max[N[(x - 0.825), $MachinePrecision], N[Max[(-y), N[(y - 0.55), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision], N[Max[N[(-0.275 - 0.275), $MachinePrecision], N[Max[N[(0.175 - -0.275), $MachinePrecision], N[Max[N[(0.275 - y), $MachinePrecision], N[Max[N[Max[N[(x - 0.55), $MachinePrecision], N[(y - 0.55), $MachinePrecision]], $MachinePrecision], (-x)], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]], $MachinePrecision]

                                                            f(x, y):
	x in [-inf, +inf],
	y in [-inf, +inf]
code: THEORY
BEGIN
f(x, y: real): real =
	LET tmp_137 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_138 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_136 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_137) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_138 ENDIF IN
	LET tmp_140 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_141 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_139 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_140) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_141 ENDIF IN
	LET tmp_135 = IF ((- x) > tmp_136) THEN (- x) ELSE tmp_139 ENDIF IN
	LET tmp_152 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_153 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_151 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_152) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_153 ENDIF IN
	LET tmp_155 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_156 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_154 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_155) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_156 ENDIF IN
	LET tmp_150 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_151) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_154 ENDIF IN
	LET tmp_160 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_161 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_159 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_160) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_161 ENDIF IN
	LET tmp_163 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_164 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_162 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_163) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_164 ENDIF IN
	LET tmp_158 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_159) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_162 ENDIF IN
	LET tmp_167 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_168 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_166 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_167) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_168 ENDIF IN
	LET tmp_170 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_171 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_169 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_170) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_171 ENDIF IN
	LET tmp_165 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_166) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_169 ENDIF IN
	LET tmp_157 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_158) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_165 ENDIF IN
	LET tmp_174 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_175 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_173 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_174) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_175 ENDIF IN
	LET tmp_177 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_178 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_176 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_177) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_178 ENDIF IN
	LET tmp_172 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_173) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_176 ENDIF IN
	LET tmp_182 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_183 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_181 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_182) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_183 ENDIF IN
	LET tmp_185 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_186 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_184 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_185) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_186 ENDIF IN
	LET tmp_180 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_181) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_184 ENDIF IN
	LET tmp_189 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_190 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_188 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_189) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_190 ENDIF IN
	LET tmp_192 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_193 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_191 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_192) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_193 ENDIF IN
	LET tmp_187 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_188) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_191 ENDIF IN
	LET tmp_179 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_180) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_187 ENDIF IN
	LET tmp_149 = IF (tmp_150 < tmp_157) THEN tmp_172 ELSE tmp_179 ENDIF IN
	LET tmp_196 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_197 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_195 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_196) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_197 ENDIF IN
	LET tmp_199 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_200 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_198 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_199) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_200 ENDIF IN
	LET tmp_194 = IF ((- x) > tmp_195) THEN (- x) ELSE tmp_198 ENDIF IN
	LET tmp_211 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_212 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_210 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_211) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_212 ENDIF IN
	LET tmp_214 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_215 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_213 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_214) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_215 ENDIF IN
	LET tmp_209 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_210) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_213 ENDIF IN
	LET tmp_219 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_220 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_218 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_219) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_220 ENDIF IN
	LET tmp_222 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_223 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_221 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_222) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_223 ENDIF IN
	LET tmp_217 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_218) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_221 ENDIF IN
	LET tmp_226 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_227 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_225 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_226) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_227 ENDIF IN
	LET tmp_229 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_230 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_228 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_229) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_230 ENDIF IN
	LET tmp_224 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_225) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_228 ENDIF IN
	LET tmp_216 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_217) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_224 ENDIF IN
	LET tmp_233 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_234 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_232 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_233) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_234 ENDIF IN
	LET tmp_236 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_237 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_235 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_236) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_237 ENDIF IN
	LET tmp_231 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_232) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_235 ENDIF IN
	LET tmp_241 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_242 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_240 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_241) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_242 ENDIF IN
	LET tmp_244 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_245 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_243 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_244) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_245 ENDIF IN
	LET tmp_239 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_240) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_243 ENDIF IN
	LET tmp_248 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_249 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_247 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_248) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_249 ENDIF IN
	LET tmp_251 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_252 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_250 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_251) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_252 ENDIF IN
	LET tmp_246 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_247) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_250 ENDIF IN
	LET tmp_238 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_239) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_246 ENDIF IN
	LET tmp_208 = IF (tmp_209 < tmp_216) THEN tmp_231 ELSE tmp_238 ENDIF IN
	LET tmp_134 = IF (tmp_135 < tmp_149) THEN tmp_194 ELSE tmp_208 ENDIF IN
	LET tmp_258 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_259 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_257 = IF (tmp_258 > (- x)) THEN tmp_259 ELSE (- x) ENDIF IN
	LET tmp_262 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_263 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_261 = IF (tmp_262 > (- x)) THEN tmp_263 ELSE (- x) ENDIF IN
	LET tmp_255 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_257) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_261 ENDIF IN
	LET tmp_267 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_268 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_266 = IF (tmp_267 > (- x)) THEN tmp_268 ELSE (- x) ENDIF IN
	LET tmp_271 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_272 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_270 = IF (tmp_271 > (- x)) THEN tmp_272 ELSE (- x) ENDIF IN
	LET tmp_264 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_266) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_270 ENDIF IN
	LET tmp_254 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_255) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_264 ENDIF IN
	LET tmp_277 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_278 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_276 = IF (tmp_277 > (- x)) THEN tmp_278 ELSE (- x) ENDIF IN
	LET tmp_281 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_282 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_280 = IF (tmp_281 > (- x)) THEN tmp_282 ELSE (- x) ENDIF IN
	LET tmp_274 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_276) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_280 ENDIF IN
	LET tmp_286 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_287 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_285 = IF (tmp_286 > (- x)) THEN tmp_287 ELSE (- x) ENDIF IN
	LET tmp_290 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_291 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_289 = IF (tmp_290 > (- x)) THEN tmp_291 ELSE (- x) ENDIF IN
	LET tmp_283 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_285) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_289 ENDIF IN
	LET tmp_273 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_274) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_283 ENDIF IN
	LET tmp_253 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_254) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_273 ENDIF IN
	LET tmp_302 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_303 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_301 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_302) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_303 ENDIF IN
	LET tmp_305 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_306 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_304 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_305) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_306 ENDIF IN
	LET tmp_300 = IF ((- x) > tmp_301) THEN (- x) ELSE tmp_304 ENDIF IN
	LET tmp_317 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_318 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_316 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_317) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_318 ENDIF IN
	LET tmp_320 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_321 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_319 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_320) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_321 ENDIF IN
	LET tmp_315 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_316) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_319 ENDIF IN
	LET tmp_325 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_326 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_324 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_325) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_326 ENDIF IN
	LET tmp_328 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_329 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_327 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_328) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_329 ENDIF IN
	LET tmp_323 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_324) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_327 ENDIF IN
	LET tmp_332 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_333 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_331 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_332) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_333 ENDIF IN
	LET tmp_335 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_336 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_334 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_335) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_336 ENDIF IN
	LET tmp_330 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_331) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_334 ENDIF IN
	LET tmp_322 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_323) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_330 ENDIF IN
	LET tmp_339 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_340 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_338 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_339) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_340 ENDIF IN
	LET tmp_342 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_343 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_341 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_342) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_343 ENDIF IN
	LET tmp_337 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_338) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_341 ENDIF IN
	LET tmp_347 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_348 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_346 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_347) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_348 ENDIF IN
	LET tmp_350 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_351 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_349 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_350) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_351 ENDIF IN
	LET tmp_345 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_346) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_349 ENDIF IN
	LET tmp_354 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_355 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_353 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_354) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_355 ENDIF IN
	LET tmp_357 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_358 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_356 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_357) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_358 ENDIF IN
	LET tmp_352 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_353) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_356 ENDIF IN
	LET tmp_344 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_345) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_352 ENDIF IN
	LET tmp_314 = IF (tmp_315 < tmp_322) THEN tmp_337 ELSE tmp_344 ENDIF IN
	LET tmp_361 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_362 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_360 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_361) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_362 ENDIF IN
	LET tmp_364 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_365 = IF ((y - (1)) > (- y)) THEN (y - (1)) ELSE (- y) ENDIF IN
	LET tmp_363 = IF ((x - (1000000000000000055511151231257827021181583404541015625e-55)) > tmp_364) THEN (x - (1000000000000000055511151231257827021181583404541015625e-55)) ELSE tmp_365 ENDIF IN
	LET tmp_359 = IF ((- x) > tmp_360) THEN (- x) ELSE tmp_363 ENDIF IN
	LET tmp_376 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_377 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_375 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_376) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_377 ENDIF IN
	LET tmp_379 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_380 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_378 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_379) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_380 ENDIF IN
	LET tmp_374 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_375) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_378 ENDIF IN
	LET tmp_384 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_385 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_383 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_384) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_385 ENDIF IN
	LET tmp_387 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_388 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_386 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_387) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_388 ENDIF IN
	LET tmp_382 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_383) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_386 ENDIF IN
	LET tmp_391 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_392 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_390 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_391) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_392 ENDIF IN
	LET tmp_394 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_395 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_393 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_394) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_395 ENDIF IN
	LET tmp_389 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_390) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_393 ENDIF IN
	LET tmp_381 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_382) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_389 ENDIF IN
	LET tmp_398 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_399 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_397 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_398) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_399 ENDIF IN
	LET tmp_401 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_402 = IF ((y - (27500000000000002220446049250313080847263336181640625e-53)) > (- y)) THEN (y - (27500000000000002220446049250313080847263336181640625e-53)) ELSE (- y) ENDIF IN
	LET tmp_400 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > tmp_401) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE tmp_402 ENDIF IN
	LET tmp_396 = IF (((450000000000000011102230246251565404236316680908203125e-54) - x) > tmp_397) THEN ((450000000000000011102230246251565404236316680908203125e-54) - x) ELSE tmp_400 ENDIF IN
	LET tmp_406 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_407 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_405 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_406) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_407 ENDIF IN
	LET tmp_409 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_410 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_408 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_409) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_410 ENDIF IN
	LET tmp_404 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_405) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_408 ENDIF IN
	LET tmp_413 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_414 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_412 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_413) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_414 ENDIF IN
	LET tmp_416 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_417 = IF ((- y) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (- y) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_415 = IF ((x - (8249999999999999555910790149937383830547332763671875e-52)) > tmp_416) THEN (x - (8249999999999999555910790149937383830547332763671875e-52)) ELSE tmp_417 ENDIF IN
	LET tmp_411 = IF (((72499999999999997779553950749686919152736663818359375e-53) - x) > tmp_412) THEN ((72499999999999997779553950749686919152736663818359375e-53) - x) ELSE tmp_415 ENDIF IN
	LET tmp_403 = IF ((x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) < tmp_404) THEN (x * ((1) - ((84999999999999997779553950749686919152736663818359375e-53) * ((1) / x)))) ELSE tmp_411 ENDIF IN
	LET tmp_373 = IF (tmp_374 < tmp_381) THEN tmp_396 ELSE tmp_403 ENDIF IN
	LET tmp_299 = IF (tmp_300 < tmp_314) THEN tmp_359 ELSE tmp_373 ENDIF IN
	LET tmp_423 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_424 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_422 = IF (tmp_423 > (- x)) THEN tmp_424 ELSE (- x) ENDIF IN
	LET tmp_427 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_428 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_426 = IF (tmp_427 > (- x)) THEN tmp_428 ELSE (- x) ENDIF IN
	LET tmp_420 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_422) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_426 ENDIF IN
	LET tmp_432 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_433 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_431 = IF (tmp_432 > (- x)) THEN tmp_433 ELSE (- x) ENDIF IN
	LET tmp_436 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_437 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_435 = IF (tmp_436 > (- x)) THEN tmp_437 ELSE (- x) ENDIF IN
	LET tmp_429 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_431) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_435 ENDIF IN
	LET tmp_419 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_420) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_429 ENDIF IN
	LET tmp_442 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_443 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_441 = IF (tmp_442 > (- x)) THEN tmp_443 ELSE (- x) ENDIF IN
	LET tmp_446 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_447 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_445 = IF (tmp_446 > (- x)) THEN tmp_447 ELSE (- x) ENDIF IN
	LET tmp_439 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_441) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_445 ENDIF IN
	LET tmp_451 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_452 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_450 = IF (tmp_451 > (- x)) THEN tmp_452 ELSE (- x) ENDIF IN
	LET tmp_455 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_456 = IF ((x - (5500000000000000444089209850062616169452667236328125e-52)) > (y - (5500000000000000444089209850062616169452667236328125e-52))) THEN (x - (5500000000000000444089209850062616169452667236328125e-52)) ELSE (y - (5500000000000000444089209850062616169452667236328125e-52)) ENDIF IN
	LET tmp_454 = IF (tmp_455 > (- x)) THEN tmp_456 ELSE (- x) ENDIF IN
	LET tmp_448 = IF (((27500000000000002220446049250313080847263336181640625e-53) - y) > tmp_450) THEN ((27500000000000002220446049250313080847263336181640625e-53) - y) ELSE tmp_454 ENDIF IN
	LET tmp_438 = IF (((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) > tmp_439) THEN ((174999999999999988897769753748434595763683319091796875e-54) - (-27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_448 ENDIF IN
	LET tmp_418 = IF (((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) > tmp_419) THEN ((-27500000000000002220446049250313080847263336181640625e-53) - (27500000000000002220446049250313080847263336181640625e-53)) ELSE tmp_438 ENDIF IN
	LET tmp_126 = IF (tmp_134 < tmp_253) THEN tmp_299 ELSE tmp_418 ENDIF IN
	tmp_126
END code
                                                            \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right)
                                                            Derivation

                                                            1. Initial program 100.0%

                                                              \[\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, -y\right), x - 0.825\right), 0.725 - x\right), \sqrt{{\left(y - 0.7\right)}^{2} + {\left(x - 0.775\right)}^{2}} - 0.075\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 0.275\right), x - 0.55\right), 0.45 - x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(-y, y - 1\right), x - 0.1\right), -x\right)\right), \mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(\mathsf{max}\left(y - 0.55, x - 0.55\right), -x\right), 0.275 - y\right), 0.175 - \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}}\right), \sqrt{{\left(y - 0.275\right)}^{2} + {\left(x - 0.275\right)}^{2}} - 0.275\right)\right) \]

                                                            3. Applied rewrites100.0%

                                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\mathsf{hypot}\left(0.275 - x, 0.275 - y\right) - 0.275, \mathsf{max}\left(0.175 - \mathsf{hypot}\left(0.275 - x, 0.275 - y\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                            4. Taylor expanded in x around inf

                                                              \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - \frac{11}{40} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                            5. Step-by-step derivation

                                                              1. Applied rewrites100.0%

                                                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right) - 0.275, \mathsf{max}\left(0.175 - x \cdot \left(1 - 0.275 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                              2. Taylor expanded in x around 0

                                                                \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(\frac{-11}{40} - 0.275, \mathsf{max}\left(0.175 - \frac{-11}{40}, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                              3. Step-by-step derivation

                                                                1. Applied rewrites100.0%

                                                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(\mathsf{hypot}\left(0.7 - y, 0.775 - x\right) - 0.075, \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]

                                                                2. Taylor expanded in x around inf

                                                                  \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - \frac{17}{20} \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                                3. Step-by-step derivation

                                                                  1. Applied rewrites20.0%

                                                                    \[\leadsto \mathsf{min}\left(\mathsf{min}\left(\mathsf{max}\left(-x, \mathsf{max}\left(x - 0.1, \mathsf{max}\left(y - 1, -y\right)\right)\right), \mathsf{min}\left(\mathsf{max}\left(0.45 - x, \mathsf{max}\left(x - 0.55, \mathsf{max}\left(y - 0.275, -y\right)\right)\right), \mathsf{min}\left(x \cdot \left(1 - 0.85 \cdot \frac{1}{x}\right), \mathsf{max}\left(0.725 - x, \mathsf{max}\left(x - 0.825, \mathsf{max}\left(-y, y - 0.55\right)\right)\right)\right)\right)\right), \mathsf{max}\left(-0.275 - 0.275, \mathsf{max}\left(0.175 - -0.275, \mathsf{max}\left(0.275 - y, \mathsf{max}\left(\mathsf{max}\left(x - 0.55, y - 0.55\right), -x\right)\right)\right)\right)\right) \]
                                                                  2. Add Preprocessing

                                                                  Reproduce

                                                                  ?
                                                                  herbie shell --seed 2025359 
(FPCore (x y)
  :name "The letters hi in the upper-right quadrant"
  :precision binary64
  (fmin (fmin (fmin (fmin (fmax (fmax (fmax (- y 0.55) (- y)) (- x 0.825)) (- 0.725 x)) (- (sqrt (+ (pow (- y 0.7) 2.0) (pow (- x 0.775) 2.0))) 0.075)) (fmax (fmax (fmax (- y) (- y 0.275)) (- x 0.55)) (- 0.45 x))) (fmax (fmax (fmax (- y) (- y 1.0)) (- x 0.1)) (- x))) (fmax (fmax (fmax (fmax (fmax (- y 0.55) (- x 0.55)) (- x)) (- 0.275 y)) (- 0.175 (sqrt (+ (pow (- y 0.275) 2.0) (pow (- x 0.275) 2.0))))) (- (sqrt (+ (pow (- y 0.275) 2.0) (pow (- x 0.275) 2.0))) 0.275))))